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We review the theory of quantum fields propagating in an arbitrary, classical, globally hyperbolic spacetime.
B. S. DeWitt and R. W. Brehme, “Radiation damping in a gravitational field,” Annals Phys. 9
1960
Earlier work this paper cites.
N. I. Akhizer: “The classical moment problem and some related questions in analysis,” Oliver and Boyd (1965)
1965
Earlier work this paper cites.
J. M. Bardeen, B. Carter and S. W. Hawking, “The Four laws of black hole mechanics,” Commun. Math. Phys. 31
1973
Earlier work this paper cites.
H. Epstein and V. Glaser, “The Role of locality in perturbation theory,” Annales Poincare Phys. Theor. A 19
1973
Earlier work this paper cites.
D. G. Boulware, “Quantum Field Theory in Schwarzschild and Rindler Spaces,” Phys. Rev. D 11
1975
Earlier work this paper cites.
M. Reed and B. Simon: “Fourier analysis and self-adjointness,” Academic Press (1975)
1975
Earlier work this paper cites.
R. M. Wald, “On Particle Creation by Black Holes,” Commun. Math. Phys. 45
1975
Earlier work this paper cites.
S. W. Hawking, “Particle Creation by Black Holes,” Commun. Math. Phys. 43
1976
Earlier work this paper cites.
C. Schomblond and P. Spindel, “Unicity Conditions of the Scalar Field Propagator Delta(1) (x,y) in de Sitter Universe,” Annales Poincare Phys. Theor. 25
1976
Earlier work this paper cites.
W. G. Unruh, “Notes on black hole evaporation,” Phys. Rev. D 14
1976
Earlier work this paper cites.
B. S. Kay, “The Casimir Effect Without MAGIC,” Phys. Rev. D 20
1979
Earlier work this paper cites.
N. N. Bogoliubov, D. V. Shirkov: Introduction to the theory of quantized fields,
1980
Earlier work this paper cites.
J. Dimock, “Algebras of local observables on a manifold,” Commun. Math. Phys. 77
1980
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 Space-time. II,” Annals Phys. 136
1981
Earlier work this paper cites.
H. Araki and S. Yamagami: “On the quasi-equivalence of quasifree states of the canonical commutation relations”, Publ. RIMS, Kyoto U. 18
1982
Earlier work this paper cites.
H. Kodama and M. Sasaki, “Cosmological Perturbation Theory,” Prog. Theor. Phys. Suppl. 78
1984
Earlier work this paper cites.
W. G. Unruh and R. M. Wald, “What happens when an accelerating observer detects a Rindler particle,” Phys. Rev. D 29
1984
Earlier work this paper cites.
B. Allen, “Vacuum States in de Sitter Space,” Phys. Rev. D 32
1985
Earlier work this paper cites.
K. Fredenhagen and R. Haag, “Generally Covariant Quantum Field Theory and Scaling Limits,” Commun. Math. Phys. 108
1987
Earlier work this paper cites.
J. Glimm and A. Jaffe: Quantum physics: A functional integral point of view
1987
Earlier work this paper cites.
K. Fredenhagen and R. Haag, “On the Derivation of Hawking Radiation Associated With the Formation of a Black Hole,” Commun. Math. Phys. 127
1990
Earlier work this paper cites.
L. Hormander, The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis,
1990
Earlier work this paper cites.
B. S. Kay and R. M. Wald, “Theorems on the Uniqueness and Thermal Properties of Stationary, Nonsingular, Quasifree States on Space-Times with a Bifurcate Killing Horizon,” Phys. Rept. 207
1991
Earlier work this paper cites.
R. Haag, Local quantum physics: Fields, particles, algebras
1992
Earlier work this paper cites.
V. F. Mukhanov, H. A. Feldman and R. H. Brandenberger, “Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions,” Phys. Rept. 215
1992
Earlier work this paper cites.
G. Keller and C. Kopper, “Perturbative renormalization of composite operators via flow equations. 2. Short distance expansion,” Commun. Math. Phys. 153
1993
Cited alongside, same era.
J. Bros, U. Moschella and J. P. Gazeau, “Quantum field theory in the de Sitter universe,” Phys. Rev. Lett. 73
1994
Cited alongside, same era.
V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D 50
1994
Cited alongside, same era.
R. Verch, “Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved space-time,” Commun. Math. Phys. 160
1994
Cited alongside, same era.
R. M. Wald, Quantum field theory in curved spacetime and black hole thermodynamics
1994
Cited alongside, same era.
C. J. Fewster and M. J. Pfenning, “A Quantum weak energy inequality for spin one fields in curved space-time,” J. Math. Phys. 44
2003
Later among the works it cites.
S. Hollands and R. M. Wald, “On the renormalization group in curved space-time,” Commun. Math. Phys. 237
2003
Later among the works it cites.
M. Duetsch and K. Fredenhagen, “Causal perturbation theory in terms of retarded products, and a proof of the action Ward identity,” Rev. Math. Phys. 16
2004
Later among the works it cites.
S. Hollands and R. M. Wald, “Conservation of the stress tensor in interacting quantum field theory in curved spacetimes,” Rev. Math. Phys. 17
2005
Later among the works it cites.
S. De Bievre and M. Merkli, “The Unruh effect revisited,” Class. Quant. Grav. 23
2006
Later among the works it cites.
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J. Bros and U. Moschella, “Two point functions and quantum fields in de Sitter universe,” Rev. Math. Phys. 8
1996
Cited alongside, same era.
R. Brunetti, K. Fredenhagen and M. Kohler, “The Microlocal spectrum condition and Wick polynomials of free fields on curved space-times,” Commun. Math. Phys. 180
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.
M. J. Radzikowski, “A Local to global singularity theorem for quantum field theory on curved space-time,” Commun. Math. Phys. 180
1996
Cited alongside, same era.
L. H. Ford and T. A. Roman, “Restrictions on negative energy density in flat space-time,” Phys. Rev. D 55
1997
Cited alongside, same era.
M. Duetsch and K. Fredenhagen, “A Local (perturbative) construction of observables in gauge theories: The Example of QED,” Commun. Math. Phys. 203
1999
Cited alongside, same era.
G. Barnich, F. Brandt and M. Henneaux, “Local BRST cohomology in gauge theories,” Phys. Rept. 338
2000
Cited alongside, same era.
C. Bär, N. Ginoux and F. Pfäffle, “Wave equations on Lorenzian manifolds and quantization,” Zürich, Switzerland: Eur. Math. Soc. (2007) 194 p
2007
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.
C. Kopper and V. F. Muller, “Renormalization proof for massive ϕ 4 4 \phi^{4}_{4} theory on Riemannian manifolds,” Commun. Math. Phys. 275
2007
Later among the works it cites.
F. Brennecke and M. Dütsch, “Removal of violations of the Master Ward Identity in perturbative QFT,” Rev. Math. Phys. 20
2008
Later among the works it cites.
S. Hollands, “Renormalized Quantum Yang-Mills Fields in Curved Spacetime,” Rev. Math. Phys. 20
2008
Later among the works it cites.
R. Brunetti, M. Duetsch and K. Fredenhagen, “Perturbative algebraic quantum field theory and the renormalization groups,” Adv. Theor. Math. Phys. 13
2009
Later among the works it cites.
B. Chilian and K. Fredenhagen, “The Time slice axiom in perturbative quantum field theory on globally hyperbolic spacetimes,” Commun. Math. Phys. 287
2009
Later among the works it cites.
M. Dafermos and I. Rodnianski, “The Red-shift effect and radiation decay on black hole spacetimes,” Commun. Pure Appl. Math. 62
2009
Later among the works it cites.
C. Dappiaggi, T. -P. Hack and N. Pinamonti, “The Extended algebra of observables for Dirac fields and the trace anomaly of their stress-energy tensor,” Rev. Math. Phys. 21
2009
Later among the works it cites.
S. Hollands and R. M. Wald, “Axiomatic quantum field theory in curved spacetime,” Commun. Math. Phys. 293
2010
Later among the works it cites.
K. Sanders, “Equivalence of the (generalised) Hadamard and microlocal spectrum condition for (generalised) free fields in curved spacetime,” Commun. Math. Phys. 295
2010
Later among the works it cites.
C. Dappiaggi, V. Moretti and N. Pinamonti, “Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime,” Adv. Theor. Math. Phys. 15
2011
Later among the works it cites.
A. Higuchi, D. Marolf and I. A. Morrison, “On the Equivalence between Euclidean and In-In Formalisms in de Sitter QFT,” Phys. Rev. D 83
2011
Later among the works it cites.
D. Marolf and I. A. Morrison, “The IR stability of de Sitter QFT: results at all orders,” Phys. Rev. D 84
2011
Later among the works it cites.
S. Hollands, “Massless interacting quantum fields in deSitter spacetime,” Annales Henri Poincare 13
2012
Later among the works it cites.
S. Hollands and C. Kopper, “The operator product expansion converges in perturbative field theory,” Commun. Math. Phys. 313
2012
Later among the works it cites.
C. J. Fewster and D. S. Hunt, “Quantization of linearized gravity in cosmological vacuum spacetimes,” Rev. Math. Phys. 25
2013
Later among the works it cites.
K. Fredenhagen and K. Rejzner, “Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory,” Commun. Math. Phys. 317
2013
Later among the works it cites.
S. Hollands, “Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime,” Commun. Math. Phys. 319
2013
Later among the works it cites.
J. Holland and S. Hollands, “Operator product expansion algebra,” J. Math. Phys. 54, 072302
2013
Later among the works it cites.