Institut für Theoretische Physik
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Quantum Field Theory Group
Institut für Theoretische Physik, Uni Göttingen

Last update January 2012

Recent publications


  • Research
  • LQP papers


    1998 1999  2000 2001  2002 2003  2004 2005  2006 2007  2008 2009  2010 2011   2012  

    R. Longo, K.-H. Rehren:
    Boundary quantum field theory on the interior of the Lorentz hyperboloid
    to appear in Commun. Math. Phys. (2012) . Journal link
    LQP archive
    e-print arXiv:1103.1141 [math-ph]


    1998 1999  2000 2001  2002 2003  2004 2005  2006 2007  2008 2009  2010   2011   2012 

    D. Buchholz, G. Lechner, S.J. Summers:
    Warped convolutions, Rieffel deformations and the construction of quantum field theories
    Commun. Math. Phys. 304 (2011) 95-123. Journal link
    LQP archive
    e-print arXiv:1005.2656 [math-ph]

    E. Cagnache, F. D'Andrea, P. Martinetti, J.-Ch. Wallet:
    The spectral distance on the Moyal plane
    J. Geom. Phys. 61 (2011) 1881-1897. Journal link
    e-print arXiv:0912.0906 [hep-th]

    M. Dütsch, K.-H. Rehren:
    Protecting the conformal symmetry via bulk renormalization on Anti deSitter space
    Commun. Math. Phys. 307 (2011) 315-350. Journal link
    LQP archive
    e-print arXiv:1003.5451 [hep-th]

    H. Knuth:
    On invariants and scalar chiral correlation functions in N=1 superconformal field theories
    Int. J. Mod. Phys. A 26 (2011) 2007-2025. Journal link
    LQP archive
    e-print arXiv:1010.2740 [hep-th]

    A.M. Kukhtina, K.-H. Rehren:
    Local commutators and deformations in conformal chiral quantum field theories
    Int. J. Mod. Phys. A 26 (2011) 3357-3383. Journal link
    LQP archive
    e-print arXiv:1105.2963 [math-ph]

    C. Neumann, K.-H. Rehren, L. Wallenhorst:
    New methods in conformal partial wave analysis
    Contributed to Proceedings in Mathematics
    e-print arXiv:1112.3512 [math-ph]


    1998 1999  2000 2001  2002 2003  2004 2005  2006 2007  2008 2009   2010   2011 2012 

    H.-J. Borchers:
    On the net of von Neumann algebras associated with a wedge and remarks on the Connes type of local algebras
    LQP archive

    F. D'Andrea, P. Martinetti:
    A view on optimal transport from noncommutative geometry
    SIGMA 6 (2010) 057. Journal link
    e-print arXiv:0906.1267 [math.OA]

    R. Longo, P. Martinetti, K.-H. Rehren:
    Geometric modular action for disjoint intervals and boundary conformal field theory
    Rev. Math. Phys. 22 (2010) 331-354. Journal link
    LQP archive
    e-print arXiv:0912.1106 [math-ph]

    M. Requardt:
    An alternative to decoherence by environment and the appearance of a classical world
    e-print arXiv:1009.1220 [quant-ph]

    M. Requardt:
    Higher order Schmidt representations and their relevance for the basis ambiguity
    e-print arXiv:1009.1223 [quant-ph]

    Ko Sanders:
    Equivalence of the (generalised) Hadamard and microlocal spectrum condition for (generalised) free fields in curved spacetime
    Commun. Math. Phys. 295 (2010) 485-501. Journal link
    e-print arXiv:0903.1021 [math-ph]

    Ko Sanders:
    The locally covariant Dirac field
    Rev. Math. Phys. 22 (2010) 381-430. Journal link
    e-print arXiv:0911.1304 [math-ph]

    Ko Sanders:
    Essential self-adjointness of Wick squares and energy densities in Hadamard representations on curved spacetimes
    e-print arXiv:1010.3978 [math-ph]

    Ch. Solveen:
    Local thermal equilibrium in quantum field theory on flat and curved spacetimes
    Class. Qu. Grav. 27 (2010) 235002. Journal link
    LQP archive
    e-print arXiv:1005.3696 [gr-qc]


    1998 1999  2000 2001  2002 2003  2004 2005  2006 2007  2008   2009   2010 2011  2012 

    M. Bischoff, D. Meise, K.-H. Rehren, I. Wagner:
    Conformal quantum field theory in various dimensions
    Bulg. J. Phys. 36 (2009) 170-185. Journal link
    LQP archive
    e-print arXiv:0908.3391 [math-ph]

    H.-J. Borchers:
    On the net of von Neumann algebras associated with a wedge and wedge-causal manifolds
    LQP archive

    W. Dybalski:
    Spectral theory of automorphism groups and particle structures in quantum field theory
    PhD thesis
    LQP archive
    e-print arXiv:0901.3127 [math-ph]

    W. Dybalski:
    Coincidence arrangements of local observables and uniqueness of the vacuum in QFT
    J. Phys. A: Math. Theor. 42 (2009) 365201. Journal link
    e-print arXiv:0905.2050 [math-ph]

    R. Longo, K.-H. Rehren:
    How to remove the boundary in CFT: an operator algebraic procedure
    Commun. Math. Phys. 285 (2009) 1165-1182. Journal link
    LQP archive
    e-print arXiv:0712.2140 [math-ph]

    P. Martinetti:
    Line element in quantum gravity: the examples of DSR and noncommutative geometry
    Int. J. Mod. Phys. A 24 (2009) 2792-2801. Journal link
    e-print arXiv:0904.4865 [gr-qc]

    P. Martinetti:
    Conformal mapping of Unruh temperature
    Mod. Phys. Lett. A 24 (2009) 1473-1483. Journal link
    e-print arXiv:0803.1538 [gr-qc]

    M. Requardt:
    Wormhole spaces: the common cause for the black hole entropy-area law, the holographic principle and quantum entanglement
    e-print arXiv:0910.4017 [hep-th]

    Ko Sanders:
    On the Reeh-Schlieder property in curved spacetime
    Commun. Math. Phys. 288 (2009) 271-285. Journal link
    e-print arXiv:0801.4676 [math-ph]


    1998 1999  2000 2001  2002 2003  2004 2005  2006 2007   2008   2009 2010  2011 2012 

    B. Bakalov, N.M. Nikolov, K.-H. Rehren, I. Todorov:
    Infinite dimensional Lie algebras in 4D conformal quantum field theory
    J. Phys. A: Math. Theor. 41 (2008) 194002. Journal link
    Reprinted in: Lie Theory and its Applications in Physics VII, Proceedings Varna 2007, eds. V. Dobrev et al., Heron Press (Sofia), Bulg. J. Phys. 35 s1 (2008) 125-138. Journal link
    LQP archive
    e-print arXiv:0711.0627 [hep-th]

    H.-J. Borchers:
    On the net of von Neumann algebras associated with a given one

    D. Buchholz:
    Quantum field theory without fields
    Physik J. 7 N9 (2008) 45-50. (in German) Journal link

    D. Buchholz, H. Grundling:
    The resolvent algebra: A new approach to canonical quantum systems
    J. Funct. Anal. 254 (2008) 2725-2779. Journal link
    LQP archive
    e-print arXiv:0705.1988 [math.OA]

    D. Buchholz, S.J. Summers:
    Warped convolutions: a novel tool in the construction of quantum field theories
    in: Quantum Field Theory and Beyond, Proceedings Ringberg 2008, E. Seiler and K. Sibold, eds., World Scientific (2008), pp. 107-121. Book link
    LQP archive
    e-print arXiv:0806.0349 [math-ph]

    W. Dybalski:
    A sharpened nuclearity condition for massless fields
    Lett. Math. Phys. 84 (2008) 217-230. Journal link
    LQP archive
    e-print arXiv:0803.1468 [math-ph]

    W. Dybalski:
    A sharpened nuclearity condition and the uniqueness of the vacuum in QFT
    Commun. Math. Phys. 283 (2008) 523-542. Journal link
    LQP archive
    e-print arXiv:0706.4049 [math-ph]

    S. Hollands:
    Renormalized quantum Yang-Mills fields in curved spacetime
    Rev. Math. Phys. 20 (2008) 1033-1172. Journal link
    e-print arXiv:0705.3340 [gr-qc]

    S. Hollands, S. Yazadjiev:
    A uniqueness theorem for 5-dimensional Einstein-Maxwell black holes
    Class. Quant. Grav. 25 (2008) 095010. Journal link
    e-print arXiv:0711.1722 [gr-qc]

    S. Hollands, S. Yazadjiev:
    Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
    Commun. Math. Phys. 283 (2008) 749-768. Journal link
    e-print arXiv:0707.2775 [gr-qc]

    H. Hölzler:
    World graph formalism for Feynman amplitudes
    JHEP 09 (2008) 022. Journal link
    e-print arXiv:0704.3392 [hep-th]

    Th. Krajewski, P. Martinetti:
    Wilsonian renormalization, differential equations and Hopf algebras
    e-print arXiv:0806.4309 [hep-th]

    G. Lechner:
    Construction of quantum field theories with factorizing S-matrices
    Commun. Math. Phys. 277 (2008) 821-860. Journal link
    LQP archive
    e-print math-ph/0601022

    N.M. Nikolov, K.-H. Rehren, I. Todorov:
    Pole structure and biharmonic fields in conformal QFT in four dimensions
    in: Lie Theory and its Applications in Physics VII, Proceedings Varna 2007, eds. V. Dobrev et al., Heron Press (Sofia), Bulg. J. Phys. 35 s1 (2008) 113-124. Journal link
    LQP archive
    e-print arXiv:0711.0628 [hep-th]

    N.M. Nikolov, K.-H. Rehren, I. Todorov:
    Harmonic bilocal fields generated by globally conformal invariant scalar fields
    Commun. Math. Phys. 279 (2008) 225-250. Journal link
    LQP archive
    e-print arXiv:0704.1960 [hep-th]

    M. Requardt:
    About the minimal resolution of space-time grains in experimental quantum gravity
    e-print arXiv:0807.3619 [gr-gc]

    M. Requardt:
    Spontaneous symmetry breaking of Lorentz and (Galilei) boosts in (relativistic) many-body systems
    e-print arXiv:0805.3022 [hep-th]

    M. Requardt:
    Thermodynamics meets Special Relativity - or what is real in Physics?
    e-print arXiv:0801.2639 [gr-qc]

    I. Stefanov, S. Yazadjiev, M. Todorov:
    Phases of 4D scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
    Mod. Phys. Lett. A 23 (2008) 2915-2931. Journal link
    e-print arXiv:0708.4141 [gr-qc]

    S. Yazadjiev:
    Magnetized static black saturn
    Phys. Rev. D 77 (2008) 127501. Journal link
    e-print arXiv:0802.0784 [hep-th]

    S. Yazadjiev:
    Gravitational lensing by rotating naked singularities
    Phys. Rev. D 78 (2008) 083004. Journal link
    e-print arXiv:0806.3289 [gr-qc]

    S. Yazadjiev:
    5D Einstein-Maxwell solitons and concentric rotating dipole black rings
    Phys. Rev. D 78 (2008) 064032. Journal link
    e-print arXiv:0805.1600 [hep-th]


    1998 1999  2000 2001  2002 2003  2004 2005  2006   2007   2008 2009  2010 2011  2012 

    A. Amsel, Th. Hertog, S. Hollands, D. Marolf:
    A tale of two superpotentials: Stability and instability in designer gravity
    Phys. Rev. D 75 (2007) 084008. Journal link
    e-print hep-th/0701038

    B. Bakalov, N.M. Nikolov, K.-H. Rehren, I. Todorov:
    Unitary positive-energy representations of scalar bilocal quantum fields
    Commun. Math. Phys. 271 (2007) 223-246. Journal link
    LQP archive
    e-print math-ph/0604069

    H.-J. Borchers:
    On two gaps in the spectrum of translations
    LQP archive

    D. Buchholz, C. D'Antoni, R. Longo:
    Nuclearity and thermal states in conformal field theory
    Commun. Math. Phys. 270 (2007) 267-293. Journal link
    e-print math-ph/0603083

    D. Buchholz, S. Doplicher, G. Morchio, J.E. Roberts, F. Strocchi:
    Asymptotic abelianness and braided tensor C*-categories
    in: Rigorous Quantum Field Theory, Proceedings Saclay 2004, eds. A. Boutet de Monvel et al., Birkhäuser 2007,
    Prog. Math. 251 (2007) 49-64.
    Journal link
    LQP archive
    e-print math-ph/0209038

    D. Buchholz, H. Grundling:
    Algebraic supersymmetry: a case study
    Commun. Math. Phys. 272 (2007) 699-750. Journal link
    e-print math-ph/0604044

    D. Buchholz, J. Schlemmer:
    Local temperature in curved spacetime
    Class. Quant. Grav. 24 (2007) F25-F31. Journal link
    LQP archive
    e-print gr-qc/0608133

    D. Buchholz, S.J. Summers:
    String- and brane-localized causal fields in a strongly nonlocal model
    J. Phys. A: Math. Theor. 40 (2007) 2147-2163. Journal link
    LQP archive
    e-print math-ph/0512060

    P. Camassa:
    Relative Haag duality for the free field in Fock representation
    Ann. H. Poinc. 8 (2007) 1433-1459. Journal link
    e-print math-ph/0607057

    K. Fredenhagen, K.-H. Rehren, E. Seiler:
    Quantum field theory: where we are
    in: Approaches to Fundamental Physics. An Assessment of Current Theoretical Ideas, eds. E. Seiler and I.O. Stamatescu, Springer 2007,
    Lecture Notes in Physics 721, pp. 61-87.
    Journal link
    LQP archive
    e-print hep-th/0603155

    S. Hollands:
    The operator product expansion for perturbative quantum field theory in curved spacetime
    Commun. Math. Phys. 273 (2007) 1-36. Journal link
    e-print gr-qc/0605072

    S. Hollands:
    Quantum field theory in curved spacetime
    in: Universality and Renormalization: From Stochastic Evolution to Renormalization of Quantum Fields, Proceedings Toronto 2005,
    Fields Institute Communications 50 (2007) 131-149.
    Book link

    S. Hollands, A. Ishibashi, R.M. Wald:
    A higher dimensional stationary rotating black hole must be axisymmetric
    Commun. Math. Phys. 271 (2007) 699-722. Journal link
    e-print gr-qc/0605106

    S. Hollands, D. Marolf:
    Asymptotic generators of fermionic charges and boundary conditions preserving supersymmetry
    Class. Quant. Grav. 24 (2007) 2301-2332. Journal link
    e-print gr-qc/0611044

    Y. Kawahigashi, R. Longo, U. Pennig, K.-H. Rehren:
    The classification of non-local chiral CFT with c < 1
    Commun. Math. Phys. 271 (2007) 375-385. Journal link
    LQP archive
    e-print math.OA/0505130

    G. Lechner:
    Towards the construction of quantum field theories from a factorizing S-matrix
    in: Rigorous Quantum Field Theory, Proceedings Saclay 2004, eds. A. Boutet de Monvel et al., Birkhäuser 2007,
    Prog. Math. 251 (2007) 175-197.
    Journal link
    LQP archive
    e-print hep-th/0502184

    Th. Nowotny, M. Requardt:
    Emergent properties in structurally dynamic disordered cellular networks
    J. Cell. Aut. 2 (2007) 273-289. Journal link
    e-print cond-mat/0611427

    K.-H. Rehren:
    On local boundary CFT and non-local CFT on the boundary
    in: Rigorous Quantum Field Theory, Proceedings Saclay 2004, eds. A. Boutet de Monvel et al., Birkhäuser 2007,
    Prog. Math. 251 (2007) 239-252.
    Journal link
    LQP archive
    e-print math-ph/0412049

    M. Requardt:
    The Statistical Mechanics of microscopic long-range bulk-boundary dependence in black-hole physics and holography
    e-print arXiv:0708.0901 [hep-th]

    M. Requardt:
    Planck fluctuations, measurement uncertainties and the holographic principle
    Mod. Phys. Lett. A 22 (2007) 791-806. Journal link
    e-print gr-qc/0505019

    I. Stefanov, S. Yazadjiev, M. Todorov:
    Phases of 4D black holes in scalar-tensor theories of gravity coupled to non-linear electrodynamics
    AIP Conf. Proc. 946 (2007) 127-134. Journal link

    I. Todorov:
    Constructing conformal field theory models
    in: Universality and Renormalization: From Stochastic Evolution to Renormalization of Quantum Fields, Proceedings Toronto 2005,
    Fields Institute Communications 50 (2007) 317-344.
    Book link

    I. Todorov:
    Higher dimensional vertex algebras and rational conformal field theory models
    Bulg. J. Phys. 34 (2007) 204-215. Journal link

    S. Yazadjiev:
    Black Saturn with dipole ring
    Phys. Rev. D 76 (2007) 064011. Journal link
    e-print arXiv:0705.1840 [hep-th]


    1998 1999  2000 2001  2002 2003  2004 2005   2006   2007 2008  2009 2010  2011 2012 

    B. Bahr:
    The Hot Bang state of massless fermions
    Lett. Math. Phys. 78 (2006) 39-54. Journal link
    LQP archive
    e-print math-ph/0504074

    B. Bakalov, N. Nikolov:
    Jacobi identity for vertex algebras in higher dimensions
    J. Math. Phys. 47 (2006) 053505. Journal link
    e-print math-ph/0601012

    H.-J. Borchers, R.N. Sen:
    Mathematical Implications of Einstein-Weyl Causality
    Lecture Notes in Physics 709 (Springer 2006). 189 pages Journal link

    D. Buchholz:
    On Hot Bangs and the arrow of time: local equilibrium states in relativistic QFT
    in: Advances in Physics and Astrophysics of the 21st Century, Proceedings Varna 2005, ed. I. Zhelyazkov, Heron Press (Sofia), Bulg. J. Phys. 33 s3 (2006) 71-79. Journal link

    D. Buchholz, S.J. Summers:
    Scattering in relativistic quantum field theory: Fundamental concepts and tools
    in: Encyclopedia of Mathematical Physics, eds. J.-P. Francoise, G. Naber and T.S. Tsun, Elsevier (2006). Book link
    LQP archive
    e-print math-ph/0509047

    C. D'Antoni, S. Hollands:
    Nuclearity, local quasiequivalence and split property for Dirac quantum fields in curved spacetime
    Commun. Math. Phys. 261 (2006) 133-159. Journal link
    e-print math-ph/0106028

    G. Lechner:
    On the construction of quantum field theories with factorizing S-matrices
    PhD thesis, Göttingen 2006
    e-print math-ph/0611050

    A. Lochmann, M. Requardt:
    An analysis of the transition zone between the various scaling regimes in the small-world model
    J. Stat. Phys. 122 (2006) 255-278. Journal link
    e-print cond-mat/0409710

    J. Mund, K.-H. Rehren:
    Symmetries in QFT of lower spacetime dimensions
    in: Encyclopedia of Mathematical Physics, eds. J.-P. Francoise, G. Naber and T.S. Tsun, Elsevier (2006). Book link

    M. Requardt:
    Entanglement-entropy for groundstates, low-lying and highly excited eigenstates of general (lattice) Hamiltonians
    e-print hep-th/0605142

    M. Requardt:
    The continuum limit of discrete geometries
    Int. J. Geom. Meth. Mod. Phys. 3 (2006) 285-314. Journal link
    e-print math-ph/0507017

    I. Todorov:
    Vertex algebras and conformal field theory models in four dimensions
    Forts. Phys. 54 (2006) 496-504 Journal link


    1998 1999  2000 2001  2002 2003  2004   2005   2006 2007  2008 2009  2010 2011  2012 

    H. Bostelmann:
    Operator product expansions as a consequence of phase space properties
    J. Math. Phys. 46 (2005) 082304. Journal link
    LQP archive
    e-print math-ph/0502004

    H. Bostelmann:
    Phase space properties and the short distance structure in quantum field theory
    J. Math. Phys. 46 (2005) 052301. Journal link
    LQP archive
    e-print math-ph/0409070

    R. Brunetti, K. Fredenhagen, S. Hollands:
    A remark on alpha vacua for quantum field theories on de Sitter space
    JHEP 0505 (2005) 063. Journal link
    LQP archive
    e-print hep-th/0503022

    D. Buchholz, S.J. Summers:
    Quantum statistics and locality
    Phys. Lett. A 337 (2005) 17-21. Journal link
    LQP archive
    e-print quant-ph/0403149

    D. Buchholz, S.J. Summers:
    Geometric modular action and spontaneous symmetry breaking
    Ann. H. Poinc. 6 (2005) 607-624. Journal link
    LQP archive
    e-print math-ph/0405058

    W. Dybalski:
    Haag-Ruelle scattering theory in presence of massless particles
    Lett. Math. Phys. 72 (2005) 27-38. Journal link
    LQP archive
    e-print hep-th/0412226

    W. Dybalski, P. Hawrylac:
    Two electrons in a strongly coupled double quantum dot: from an artificial helium atom to a hydrogen atom
    Phys. Rev. B 72 (2005) 205432. Journal link
    e-print cond-mat/0502161

    Ch.J. Fewster, S. Hollands:
    Quantum energy inequalities in two-dimensional conformal field theory
    Rev. Math. Phys. 17 (2005) 577-612. Journal link
    e-print math-ph/0412028

    Th. Hertog, S. Hollands:
    Stability in designer gravity
    Class. Quant. Grav. 22 (2005) 5323-5342. Journal link
    e-print hep-th/0508181

    S. Hollands, A. Ishibashi, D. Marolf:
    Counter-term charges generate bulk symmetries
    Phys. Rev. D 72 (2005) 104025. Journal link
    e-print hep-th/0503105

    S. Hollands, A. Ishibashi, D. Marolf:
    Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
    Class. Quant. Grav. 22 (2005) 2881-2920. Journal link
    e-print hep-th/0503045

    G. Lechner:
    On the existence of local observables in theories with a factorizing S-matrix
    J. Phys. A 38 (2005) 3045-3056. Journal link
    LQP archive
    e-print math-ph/0405062

    N.M. Nikolov, K.-H. Rehren, I. Todorov:
    Partial wave expansion and Wightman positivity in conformal field theory
    Nucl. Phys. B 722 (2005) 266-296. Journal link
    LQP archive
    e-print hep-th/0504146

    N.M. Nikolov, I. Todorov:
    Elliptic thermal correlation functions and modular forms in a globally conformal invariant QFT
    Rev. Math. Phys. 17 (2005) 613-667. Journal link
    e-print hep-th/0403191

    N.M. Nikolov, I. Todorov:
    Lectures on elliptic functions and modular forms in conformal field theory
    in: Proceedings of the III. Summer School in Modern Mathematical Physics, eds. B. Dragovich et al., Institute of Physics, Belgrade 2005, pp. 1-93.
    e-print math-ph/0412039

    K.-H. Rehren:
    QFT lectures on AdS-CFT
    in: Proceedings of the III. Summer School in Modern Mathematical Physics, eds. B. Dragovich et al., Institute of Physics, Belgrade 2005, pp. 95-118.
    LQP archive
    e-print hep-th/0411086

    M. Requardt:
    Supersymmetry on graphs and networks
    Int. J. Geom. Meth. Mod. Phys. 2 (2005) 585-596. Journal link
    e-print math-ph/0410059


    1998 1999  2000 2001  2002 2003   2004   2005 2006  2007 2008  2009 2010  2011 2012 

    D. Buchholz, G. Lechner:
    Modular nuclearity and localization
    Ann. H. Poinc. 5 (2004) 1065-1080. Journal link
    LQP archive
    e-print math-ph/0402072

    D. Buchholz, S.J. Summers:
    An algebraic characterization of vacuum states in Minkowski space. III. Reflection maps
    Commun. Math. Phys. 246 (2004) 625-641. Journal link
    LQP archive
    e-print math-ph/0309023

    D. Buchholz, S.J. Summers:
    Stable quantum systems in anti-de Sitter space: causality, independence and spectral properties
    J. Math. Phys. 45 (2004) 4810-4831. Journal link
    LQP archive
    e-print math-ph/0407011

    C. D'Antoni, K. Fredenhagen, S. Köster:
    Implementation of conformal covariance by diffeomorphism symmetry
    Lett. Math. Phys. 67 (2004) 239-247. Journal link
    e-print math-ph/0312017

    S. Köster:
    Conformal covariance subalgebras
    Lett. Math. Phys. 67 (2004) 25-32. Journal link
    LQP archive
    e-print hep-th/0303201

    S. Köster:
    Local nature of coset models
    Rev. Math. Phys. 16 (2004) 353-382. Journal link
    LQP archive
    e-print math-ph/0303054

    R. Longo, K.-H. Rehren:
    Local fields in boundary conformal QFT
    Rev. Math. Phys. 16 (2004) 909-960. Journal link
    LQP archive
    e-print math-ph/0405067

    N.M. Nikolov, I. Todorov:
    Conformal invariance and rationality in an even dimensional quantum field theory
    Int. J. Mod. Phys. A 19 (2004) 3605-3636. Journal link
    e-print math-ph/0405005

    M. Requardt, H.-J. Wagner:
    Modifications of the Ornstein-Zernike relation and the LMBW equations in the canonical ensemble via Hilbert-space methods
    J. Phys.: Condens. Matter 16 (2004) 5679-5696. Journal link


    1998 1999  2000 2001  2002   2003   2004 2005  2006 2007  2008 2009  2010 2011  2012 

    Ch. Borchers, H.-J. Borchers:
    The First Law of Thermodynamics and Dyson-Lieb's perpetuum mobile
    J. Math. Phys. 44 (2003) 4866-4967. Journal link
    LQP archive

    R. Brunetti, K. Fredenhagen, R. Verch:
    The generally covariant locality principle - A new paradigm for local quantum field theory
    Commun. Math. Phys. 237 (2003) 31-68. Journal link
    LQP archive
    e-print math-ph/0112041

    D. Buchholz:
    On Hot Bangs and the arrow of time in relativistic quantum field theory
    Commun. Math. Phys. 237 (2003) 271-288. Journal link
    LQP archive
    e-print hep-th/0301115

    M. Dütsch, K. Fredenhagen:
    The master Ward identity and generalized Schwinger-Dyson equation in classical field theory
    Commun. Math. Phys. 243 (2003) 275-314. Journal link
    LQP archive
    e-print hep-th/0211242

    M. Dütsch, K.-H. Rehren:
    Generalized free fields and the AdS-CFT correspondence
    Ann. H. Poinc. 4 (2003) 613-635. Journal link
    LQP archive
    e-print math-ph/0209035

    Ch.J. Fewster, R. Verch:
    Stability of quantum systems at three scales: Passivity, quantum weak energy inequalities and the microlocal spectrum condition
    Commun. Math. Phys. 240 (2003) 329-375. Journal link
    e-print math-ph/0203010

    S. Köster:
    Absence of stress energy tensor in CFT2 models
    LQP archive
    e-print math-ph/0303053

    G. Lechner:
    Polarization-free quantum fields and interaction
    Lett. Math. Phys. 64 (2003) 137-154. Journal link
    LQP archive
    e-print hep-th/0303062

    C. Meusburger, K.-H. Rehren:
    Algebraic quantization of the closed bosonic string
    Commun. Math. Phys. 237 (2003) 69-85. Journal link
    LQP archive
    e-print math-ph/0202041

    J. Mund:
    Modular localization of massive particles with "any" spin in d=2+1
    J. Math. Phys. 44 (2003) 2037-2057. Journal link
    LQP archive
    e-print hep-th/0208195

    M. Requardt:
    A geometric renormalization group in discrete quantum space-time
    J. Math. Phys. 44 (2003) 5588-5615. Journal link
    e-print gr-qc/0110077

    M. Requardt:
    Scaling analysis and renormalisation group for general (quantum) many body systems in the critical regime
    e-print math-ph/0303064

    M. Requardt:
    Scale free small world networks and the structure of quantum space-time
    e-print gr-qc/0308089


    1998 1999  2000 2001   2002   2003 2004  2005 2006  2007 2008  2009 2010  2011 2012 

    H.-J. Borchers:
    On the gap in the spectrum of the translations
    Ann. H. Poinc. 3 (2002) 1-17. Journal link
    LQP archive

    H.-J. Borchers:
    Quantum field theory as dynamical system
    in: Quantum Theory and Symmetries, Proceedings Krakow 2001, E. Kapuscik and A. Horzela eds., World Scientific (2002). Book link
    LQP archive

    H.-J. Borchers, R.N. Sen:
    Theory of ordered spaces III. The order uniformity and its completion
    LQP archive

    J. Bros, D. Buchholz:
    Asymptotic dynamics of thermal quantum fields
    Nucl. Phys. B 627 (2002) 289-310. Journal link
    LQP archive
    e-print hep-ph/0109136

    D. Buchholz, I. Ojima, H. Roos:
    Thermodynamic properties of non-equilibrium states in quantum field theory
    Ann. Phys. 297 (2002) 219-242. Journal link
    LQP archive
    e-print hep-ph/0105051

    D. Buchholz, J. Mund, S.J. Summers:
    Covariant and quasi-covariant dynamics on Robertson-Walker spacetimes
    Class. Quant. Grav. 19 (2002) 6417-6434. Journal link
    LQP archive
    e-print hep-th/0207057

    M. Dütsch:
    The master Ward identity: a universal formulation of classical symmetries. Can they be realized in perturbative QFT?
    in: Theory of Renormalization and Regularization, Proceedings Hesselberg, Germany (2002).
    PS-file

    M. Dütsch, F.-M. Boas:
    The master Ward identity
    Rev. Math. Phys. 14 (2002) 977-1049. Journal link
    LQP archive
    e-print hep-th/0111101

    M. Dütsch, K.-H. Rehren:
    A comment on the dual field in the AdS-CFT correspondence
    Lett. Math. Phys. 62 (2002) 171-184. Journal link
    LQP archive
    e-print hep-th/0204123 (v2)

    Ch.J. Fewster, R. Verch:
    A quantum weak energy inequality for Dirac fields in curved spacetime
    Commun. Math. Phys. 225 (2002) 331-359. Journal link
    LQP archive
    e-print math-ph/0105027

    S. Köster:
    Conformal transformations as observables
    Lett. Math. Phys. 61 (2002) 187-198. Journal link
    LQP archive
    e-print math-ph/0201016

    M. Requardt:
    Fluctuation operators and spontaneous symmetry breaking
    J. Math. Phys. 43 (2002) 351-372. Journal link
    LQP archive
    e-print math-ph/0003012

    M. Requardt:
    Dirac operators and the calculation of the Connes metric on arbitrary (infinite) graphs
    J. Phys. A 35 (2002) 759-779. Journal link
    e-print math-ph/0108007

    M. Requardt:
    Scaling limit and renormalization group in the critical point analysis of general (quantum) many body systems
    e-print math-ph/0205011

    M. Requardt:
    The translocal depth structure of space-time, Connes' "points, speaking to each other", and the (complex) structure of quantum theory
    e-print hep-th/0205168

    A. Strohmaier, R. Verch, M. Wollenberg:
    Microlocal analysis of quantum fields on curved space-times: Analytic wavefront sets and Reeh-Schlieder theorems
    J. Math. Phys. 43 (2002) 5514-5530. Journal link
    e-print math-ph/0202003


    1998 1999  2000   2001   2002 2003  2004 2005  2006 2007  2008 2009  2010 2011  2012 

    H.-J. Borchers, D. Buchholz, B. Schroer:
    Polarization-free generators and the S-matrix
    Commun. Math. Phys. 219 (2001) 125-140. Journal link
    LQP archive
    e-print hep-th/0003243

    H.-J. Borchers, J. Yngvason:
    On the PCT-theorem in the theory of local observables
    in: Mathematical Physics in Mathematics and Physics, Proceedings Siena 2000,
    Fields Institute Communications 30 (2001) 39-64.
    Book link
    LQP archive
    e-print math-ph/0012020

    D. Buchholz, S. Doplicher, G. Morchio, J.E. Roberts, F. Strocchi:
    Quantum delocalization of the electric charge
    Ann. Phys. 290 (2001) 53-66. Journal link
    LQP archive
    e-print hep-th/0011015

    D. Buchholz, J. Mund, S.J. Summers:
    Transplantation of local nets and geometric modular action on Robertson-Walker space-times
    in: Mathematical Physics in Mathematics and Physics, Proceedings Siena 2000,
    Fields Institute Communications 30 (2001) 65-81.
    Book link
    LQP archive
    e-print hep-th/0011237

    M. Dütsch, K. Fredenhagen:
    Perturbative algebraic field theory, and deformation quantization
    in: Mathematical Physics in Mathematics and Physics, Proceedings Siena 2000,
    Fields Institute Communications 30 (2001) 151-160.
    Book link
    LQP archive
    e-print hep-th/0101079

    M. Dütsch, K. Fredenhagen:
    Algebraic quantum field theory, perturbation theory, and the loop expansion
    Commun. Math. Phys. 219 (2001) 5-30. Journal link
    LQP archive
    e-print hep-th/0001129

    J. Mund:
    The Bisognano-Wichmann theorem for massive theories
    Ann. H. Poinc. 2 (2001) 907-926. Journal link
    LQP archive
    e-print hep-th/0101227

    K.-H. Rehren:
    Locality and modular invariance in 2D conformal QFT
    in: Mathematical Physics in Mathematics and Physics, Proceedings Siena 2000,
    Fields Institute Communications 30 (2001) 341-354.
    Book link
    LQP archive
    e-print math-ph/0009004

    M. Requardt, S. Roy:
    (Quantum) space-time as a statistical geometry of fuzzy lumps and the connection with random metric spaces
    Class. Quant. Grav. 18 (2001) 3039-3057. Journal link
    e-print gr-qc/0011076

    H. Sahlmann, R. Verch:
    Microlocal spectrum condition and Hadamard form for vector-valued quantum fields in curved spacetime
    Rev. Math. Phys. 13 (2001) 1203-1246. Journal link
    LQP archive
    e-print math-ph/0008029

    R. Verch:
    A spin-statistics theorem for quantum fields on curved spacetime manifolds in a generally covariant framework
    Commun. Math. Phys. 223 (2001) 261-288. Journal link
    LQP archive
    e-print math-ph/0102035

    R. Verch:
    On generalizations of the spectrum condition
    in: Mathematical Physics in Mathematics and Physics, Proceedings Siena 2000,
    Fields Institute Communications 30 (2001) 409-428.
    Book link
    LQP archive
    e-print math-ph/0011026


    1998 1999   2000   2001 2002  2003 2004  2005 2006  2007 2008  2009 2010  2011 2012 

    H.-J. Borchers:
    Modular groups in quantum field theory
    Lect. Notes Phys. 558 (2000) 26-42. Journal link

    H.-J. Borchers:
    On revolutionizing quantum field theory with Tomita's modular theory
    J. Math. Phys. 41 (2000) 3604-3673 Journal link
    LQP archive

    H.-J. Borchers:
    On thermal states of (1+1)-dimensional quantum systems
    in: Quantum Theory and Symmetries, Proceedings Goslar 1999, eds. H.-D. Doebner et al., World Scientific (2000), pp. 270-277. Book link
    LQP archive

    D. Buchholz:
    Algebraic quantum field theory: a status report
    Plenary talk given at 13th International Congress in Mathematical Physics (ICMP 2000), London, July 2000.
    LQP archive
    e-print math-ph/0011044

    D. Buchholz:
    Current trends in axiomatic quantum field theory
    Lect. Notes Phys. 558 (2000) 43-64. Journal link
    LQP archive
    e-print hep-th/9811233

    D. Buchholz:
    On the implementation of supersymmetry
    Lect. Notes Phys. 539 (2000) 211-220. Journal link
    LQP archive
    e-print hep-th/9812179

    D. Buchholz, O. Dreyer, M. Florig, S.J. Summers:
    Geometric modular action and spacetime symmetry groups
    Rev. Math. Phys. 12 (2000) 475-560. Journal link
    LQP archive
    e-print math-ph/9805026

    D. Buchholz, M. Florig, S.J. Summers:
    Hawking-Unruh temperature and Einstein causality in anti-de Sitter space-time
    Class. Quant. Grav. 17 (2000) L31-L37. Journal link
    LQP archive
    e-print hep-th/9905178

    D. Buchholz, R. Haag:
    The quest for understanding in relativistic quantum physics
    J. Math. Phys. 41 (2000) 3674-3697. Journal link
    LQP archive
    e-print hep-th/9910243

    M. Grott, K.-H. Rehren:
    On a class of bounded quantum Bose fields
    Lett. Math. Phys. 53 (2000) 167-179. Journal link
    LQP archive
    e-print math-ph/0007012

    H. Reeh:
    Summational invariants
    Lect. Notes Phys. 539 (2000) 141-148. Journal link

    K.-H. Rehren:
    Local quantum observables in the AdS-CFT correspondence
    Phys. Lett. B 493 (2000) 383-388. Journal link
    LQP archive
    e-print hep-th/0003120

    K.-H. Rehren:
    Canonical tensor product subfactors
    Commun. Math. Phys. 211 (2000) 395-406. Journal link
    LQP archive
    e-print math.OA/9911149

    K.-H. Rehren:
    New subfactors associated with closed systems of sectors
    in: Progress in Operator Algebras, Proceedings Kyoto 1999, ed. H. Kurose,
    RIMS Kokyuroku 1131 (2000) 32-39.
    Journal link
    e-print math.OA/9911148

    K.-H. Rehren:
    A proof of the AdS-CFT correspondence
    in: Quantum Theory and Symmetries, Proceedings Goslar 1999, eds. H.-D. Doebner et al., World Scientific (2000), pp. 278-284. Book link
    LQP archive
    e-print hep-th/9910074

    K.-H. Rehren:
    Algebraic holography
    Ann. H. Poinc. 1 (2000) 607-623. Journal link
    LQP archive
    e-print hep-th/9905179

    K.-H. Rehren:
    Chiral observables and modular invariants
    Commun. Math. Phys. 208 (2000) 689-712. Journal link
    LQP archive
    e-print hep-th/9903262

    K.-H. Rehren, H.R. Tuneke:
    Fusion rules for the continuum sectors of the Virasoro algebra with c=1
    Lett. Math. Phys. 53 (2000) 305-312. Journal link
    LQP archive
    e-print math-ph/0007011

    M. Requardt:
    (Quantum) space-time as a statistical geometry of lumps in random networks
    Class. Quant. Grav. 17 (2000) 2029-2058. Journal link
    e-print gr-qc/9912059

    M. Requardt:
    Let's call it nonlocal quantum physics
    e-print gr-qc/0006063

    M. Requardt:
    Space-time as an order parameter manifold in random networks and the emergence of physical points
    in: Quantum Theory and Symmetries, Proceedings Goslar 1999, eds. H.-D. Doebner et al., World Scientific (2000), pp. 555-561. Book link
    LQP archive
    e-print gr-qc/9902031

    H. Roos:
    Local temperature in QFT
    in: Quantum Theory and Symmetries, Proceedings Goslar 1999, eds. H.-D. Doebner et al., World Scientific (2000), pp. 302-308. Book link

    H. Sahlmann, R. Verch:
    Passivity and microlocal spectrum condition
    Commun. Math. Phys. 214 (2000) 705-731. Journal link
    LQP archive
    e-print math-ph/0002021

    R. Verch:
    The averaged null energy condition for general quantum field theories in two dimensions
    J. Math. Phys. 41 (2000) 206-217. Journal link
    LQP archive
    e-print math-ph/9904036


    1998   1999   2000 2001  2002 2003  2004 2005  2006 2007  2008 2009  2010 2011  2012 

    K. Baumann:
    Bounded Bose fields in 1+1 dimensions commuting for spacelike and timelike distances
    J. Math. Phys. 40 (1999) 1719-1737. Journal link

    H.-J. Borchers, R.N. Sen:
    Theory of ordered spaces II. The local differential structure
    Commun. Math. Phys. 204 (1999) 475-492. Journal link
    LQP archive

    H.-J. Borchers:
    Conditional expectation and half-sided translations
    LQP archive

    H.-J. Borchers:
    On the embedding of von Neumann subalgebras
    Commun. Math. Phys. 205 (1999) 69-79. Journal link
    LQP archive

    H.-J. Borchers, D. Buchholz:
    Global properties of vacuum states in de Sitter space
    Ann. Inst. H. Poinc. A 70 (1999) 23-40, Erratum ibid., p. 560. Journal link
    LQP archive
    e-print gr-qc/9803036

    H.-J. Borchers, J. Yngvason:
    Modular groups of quantum fields in thermal states
    J. Math. Phys. 40 (1999) 601-624. Journal link
    LQP archive
    e-print math-ph/9805013

    D. Buchholz, M. Florig, S.J. Summers:
    An algebraic characterization of vacuum states in Minkowski space. II. Continuity aspects
    Lett. Math. Phys. 49 (1999) 337-350. Journal link
    LQP archive
    e-print math-ph/9909003

    D. Buchholz, R. Longo:
    Graded KMS functionals and the breakdown of supersymmetry
    Adv. Theor. Math. Phys. 3 (1999) 615-626, Addendum ibid. 3 (1999) 1909-1910. Journal link
    LQP archive
    e-print hep-th/9905102

    T. Nowotny, M. Requardt:
    Pregeometric concepts on graphs and cellular networks as possible models of space-time at the Planck scale
    Chaos Solitons Fractals 10 (1999) 469-481. Journal link
    e-print hep-th/9801199

    M. Requardt, A. Schlömerkemper:
    Perturbation theory of Schrödinger operators in infinitely many coupling parameters
    J. Phys. A 32 (1999) 7523-7541. Journal link
    LQP archive

    R. Verch:
    Notes on regular diamonds (internal note)
    LQP archive

    R. Verch:
    Wavefront sets in algebraic quantum field theory
    Commun. Math. Phys. 205 (1999) 337-367. Journal link
    LQP archive
    e-print math-ph/9807022


    1998   1999 2000  2001 2002  2003 2004  2005 2006  2007 2008  2009 2010  2011 2012 

    H.-J. Borchers:
    Half-sided translations and the type of von Neumann algebras
    Lett. Math. Phys. 44 (1998) 283-290. Journal link
    LQP archive

    H.-J. Borchers:
    On Poincaré transformations and the modular group of the algebra associated with a wedge
    Lett. Math. Phys. 46 (1998) 295-301. Journal link
    LQP archive

    J. Bros, D. Buchholz:
    The unmasking of thermal Goldstone bosons
    Phys. Rev. D 58 (1998) 125012. Journal link
    LQP archive
    e-print hep-th/9608139

    D. Buchholz:
    Scaling algebras in local relativistic quantum physics (talk)
    LQP archive

    D. Buchholz, R. Verch:
    Scaling algebras and renormalization group in algebraic quantum field theory. II. Instructive examples.
    Rev. Math. Phys. 10 (1998) 775-800 Journal link
    e-print hep-th/9708095

    K. Fredenhagen, K.-H. Rehren:
    Algebraische Quantenfeldtheorie
    Essay-Beitrag zum Lexikon der Physik, Spektrum Akademischer Verlag, Heidelberg, 1998.

    W. Kunhardt:
    On infravacua and the localisation of sectors
    J. Math. Phys. 39 (1998) 6353-6363. Journal link
    LQP archive
    e-print math-ph/9806003

    W. Kunhardt:
    On infravacua and superselection theory
    J. Math. Phys. 39 (1998) 3589-3599. Journal link
    LQP archive
    e-print hep-th/9704212

    T. Nowotny, M. Requardt:
    Dimension theory of graphs and networks
    J. Phys. A 31 (1998) 2447-2463. Journal link
    e-print hep-th/9801199

    K.-H. Rehren:
    Spin-statistics and CPT for solitons
    Lett. Math. Phys. 46 (1998) 95-110. Journal link
    LQP archive
    e-print hep-th/9711085

    M. Requardt:
    Cellular networks as models for Planck scale physics
    J. Phys. A 31 (1998) 7997-8021. Journal link
    e-print hep-th/9806135

    S.J. Summers, R. Verch:
    Modular inclusion, the Hawking temperature and quantum field theory in curved spacetime
    Lett. Math. Phys. 37 (1998) 145-158. Journal link
    LQP archive


    1998 1999  2000 2001  2002 2003  2004 2005  2006 2007  2008 2009  2010 2011  2012 

    K. Baumann:
    Unboundedness of Bose fields in a one-dimensional model world
    Lett. Math. Phys. 41 (1997) 135-147. Journal link

    H.-J. Borchers:
    On the lattice of subalgebras associated with the principle of half-sided modular inclusions
    Lett. Math. Phys. 40 (1997) 371-390. Journal link

    H.-J. Borchers:
    Half-sided modular inclusions and structure analysis in quantum field theory.
    in: Operator algebras and quantum field theory (Rome, 1996), pp. 589--608, Int. Press, Cambridge, MA, 1997

    G. Keller, Ch. Kopper, C. Schophaus:
    Perturbative renormalization with flow equations in Minkowski space
    Helv. Phys. Acta 70 (1997) 247-274.

    Ch. Mackrodt, H. Reeh:
    Summational invariants
    J. Math. Phys. 38 (1997) 3012-3019. Journal link

    M. Requardt:
    Emergence of space-time on the Planck scale within the scheme of dynamical cellular networks and random graphs
    in: Group 21, proceedings Goslar 1996, eds. H.-D. Doebner et al., World Scientific (1997), pp. 355-359.
    e-print hep-th/9612185


    K. Baumann:
    Why the Thirring model cannot fulfill canonical anticommutation relations
    J. Math. Phys. 37 (1996) 2093-2106. Journal link

    H.-J. Borchers:
    Half-sided modular inclusion and the construction of the Poincare group
    Commun. Math. Phys. 179 (1996) 703-723. Journal link

    H.-J. Borchers:
    Translation group and particle representations in quantum field theory
    Lecture Notes in Physics (Monographs) m40 (Springer 1996). 131 pages

    G. Keller, Ch. Kopper:
    Renormalizability proof for QED based on flow equations
    Commun. Math. Phys. 176 (1996) 193-226. Journal link


    H.-J. Borchers:
    On the use of modular groups in quantum field theory
    Ann. Inst. H. Poinc. A 63 (1995) 331-382. Journal link

    H.-J. Borchers:
    When does Lorentz invariance imply wedge duality?
    Lett. Math. Phys. 35 (1995) 39-60. Journal link

    Ch. Kopper:
    Mass generation in the large N Gross-Neveu model
    Lect. Notes Phys. 446 (1995) 169-186. Journal link

    Ch. Kopper, J. Magnen, V. Rivasseau:
    Mass generation in the large N Gross-Neveu model
    Commun. Math. Phys. 169 (1995) 121-180. Journal link


    K. Baumann:
    The characteristic functional for a Wick square
    in: On Klauder's Path, eds. G.G. Emch et al., World Scientific (1994), pp. 15-23. Book link

    H.-J. Borchers:
    Covariance subalgebras connected with symmetry groups of C* algebras
    in: On Klauder's Path, eds. G.G. Emch et al., World Scientific (1994), pp. 25-33. Book link

    H. Reeh:
    Hamiltonians with contact interaction
    in: On Klauder's Path, eds. G.G. Emch et al., World Scientific (1994), pp. 171-177. Book link


    KHR, Last modified: Tue Jan 24 10:54:29 CET 2012