Fetching the paper…
Reading the bibliography…
The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features--such as Poincare invariance and the existence of a preferred vacuum state--that are very special to Minkowski spacetime.
R. Haag and D. Kastler, “An Algebraic Approach To Quantum Field Theory,” J. Math. Phys. 5
1964
Earlier work this paper cites.
R. F. Streater and A. A. Wightman: PCT, Spin and Statistics and All That,
1964
Earlier work this paper cites.
K. G. Wilson, “Nonlagrangian Models Of Current Algebra,” Phys. Rev. 179
1969
Earlier work this paper cites.
B. Schroer, J. A. Swieca and A. H. Volkel, “Global Operator Expansions In Conformally Invariant Relativistic Quantum Field Theory,” Phys. Rev. D 11
1975
Earlier work this paper cites.
See appendix in: C. Bernard, A. Duncan, J. LoSecco, S. Weinberg: “Exact spectral-function sum rules”, Phys. Rev. D 12
1975
Earlier work this paper cites.
S.A. Fulling, F.J. Narcowich, and R.M. Wald: “Singularity Structure of the Two-Point Function in Quantum Field Theory in Curved Spacetime, II,” Ann. Phys. 136
1981
Earlier work this paper cites.
L. Hörmander: The Analysis of Linear Partial Differential Operators I,
1983
Earlier work this paper cites.
R. E. Borcherds, “Vertex Algebras, Kac-Moody Algebras, And The Monster,” Proc. Nat. Acad. Sci. 83
1986
Earlier work this paper cites.
I. Frenkel, J. Lepowsky and A. Meurman, “Vertex operator algebras and the Monster,” Academic Press, Boston (1988)
1988
Earlier work this paper cites.
R. M. Wald: Quantum Field Theory on Curved Spacetimes and Black Hole Thermodynamics,
1990
Earlier work this paper cites.
V. Rivasseau, “From perturbative to constructive renormalization,” Princeton, USA: Univ. Pr. (1991) 336 p. (Princeton series in physics)
1991
Cited alongside, same era.
S. Axelrod and I. M. Singer, “Chern-Simons perturbation theory. 2,” J. Diff. Geom. 39
1994
Cited alongside, same era.
W. Fulton and R. MacPherson: “A compactification of configuration spaces,” Ann. Math. 139 183 (1994)
1994
Cited alongside, same era.
R. Brunetti, K. Fredenhagen and M. Köhler: “The microlocal spectrum condition and Wick polynomials on curved spacetimes,” Commun. Math. Phys. 180
1996
Cited alongside, same era.
K. Fredenhagen and J. Hertel, “Local Algebras Of Observables And Point - Like Localized Fields,” Commun. Math. Phys. 80
1996
Cited alongside, same era.
S. Hollands and R. M. Wald: “Local Wick Polynomials and Time Ordered Products of Quantum Fields in Curved Space,” Commun. Math. Phys. 223
2001
Later among the works it cites.
S. Hollands and R. M. Wald: “Existence of local covariant time-ordered-products of quantum fields in curved spacetime,” Commun. Math. Phys. 231
2002
Later among the works it cites.
R. Brunetti, K. Fredenhagen and R. Verch, “The generally covariant locality principle: A new paradigm for local quantum physics,” Commun. Math. Phys. 237
2003
Later among the works it cites.
C. J. Fewster: "Energy inequalities in quantum field theory," Proceedings of XIVth International Congress on Mathematical Physics, ed. J.-C. Zambrini, 559 (2003)
2003
Later among the works it cites.
K. Fredenhagen: "Locally covariant quantum field theory," Proceedings of XIVth International Congress on Mathematical Physics, ed. J.-C. Zambrini, 29 (2003)
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
V. Kac, “Vertex algebras for beginners,” Providence, USA: AMS (1996) 141 p. (University lectures series. 10)
1996
Cited alongside, same era.
M. J. Radzikowski, “Micro-local approach to the Hadamard condition in quantum field theory on curved space-time,” Commun. Math. Phys. 179
1996
Cited alongside, same era.
R. Brunetti and K. Fredenhagen: “Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on physical backgrounds,” Commun. Math. Phys. 208
2000
Cited alongside, same era.
W. Zimmermann, “Normal Products And The Short Distance Expansion In The Perturbation Theory Of Renormalizable Interactions,” Annals Phys. 77
2000
Cited alongside, same era.
S. Hollands and C. Kopper: in progress
Cited in the paper.
S. Hollands and R.M. Wald: in progress
Cited in the paper.
Cited in the paper.
2003
Later among the works it cites.
S. Hollands, “A general PCT theorem for the operator product expansion in curved spacetime,” Commun. Math. Phys. 244
2004
Later among the works it cites.
H. Bostelmann, “Operator product expansions as a consequence of phase space properties,” J. Math. Phys. 46
2005
Later among the works it cites.
H. Bostelmann: “Phase space properties and the short distance structure in quantum field theory,” J. Math. Phys. 46
2005
Later among the works it cites.
S. Hollands, “The operator product expansion for perturbative quantum field theory in curved spacetime,” Commun. Math. Phys. 273
2007
Later among the works it cites.