Fetching the paper…
Reading the bibliography…
We discuss the quantization of linearized gravity on globally hyperbolic, asymptotically flat, vacuum spacetimes and the construction of distinguished states which are both of Hadamard form and invariant under the action of all bulk isometries.
1914
Earlier work this paper cites.
I. Khavkine, “Cohomology with causally restricted supports,” arXiv:1404.1932 [math-ph]
1932
Earlier work this paper cites.
R. E. Peierls, “The Commutation laws of relativistic field theory,” Proc. Roy. Soc. Lond. A 214
1952
Earlier work this paper cites.
G. ’t Hooft and M. J. G. Veltman, “One loop divergencies in the theory of gravitation,” Annales Poincare Phys. Theor. A 20
1974
Earlier work this paper cites.
J. M. Stewart and M. Walker, “Perturbations of spacetimes in general relativity,” Proc. Roy. Soc. Lond. A 341
1974
Earlier work this paper cites.
R. P. Geroch “Asymptotic structure of space-time,” appeared in the proceedings of the symposium “Asymptotic structure of space-time,” ed. Esposito and Witten, Plenum Press (1977)
1977
Earlier work this paper cites.
R. P. Geroch and B. C. Xanthopoulos, “Asymptotic simplicity is stable,” J. Math. Phys. 19
1978
Earlier work this paper cites.
V. P. Frolov, “Null Surface Quantization And Quantum Theory Of Massless Fields In Asymptotically Flat Space-time,” Gen. Rel. Grav. 10
1979
Earlier work this paper cites.
L. P. Grishchuk and V. M. Yudin, “Conformal Coupling Of Gravitational Wave Field To Curvature,” J. Math. Phys. 21
1980
Earlier work this paper cites.
A. Ashtekar, “Radiative Degrees of Freedom of the Gravitational Field in Exact General Relativity,” J. Math. Phys. 22
1981
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,”
1981
Earlier work this paper cites.
A. Ashtekar and A. Magnon-Ashtekar, “On the Symplectic Structure of General Relativity,” Commun. Math. Phys. 86
1982
Earlier work this paper cites.
R. Bott and L. W. Tu, “Differential Forms in Algebraic Topology,” Springer (1982)
1982
Earlier work this paper cites.
J. Bicak and B. G. Schmidt, “Isometries Compatible With Gravitational Radiation,” J. Math. Phys. 25
1984
Earlier work this paper cites.
R.M.Wald, “General Relativity,” Chicago University Press (1984)
1984
Earlier work this paper cites.
M. H. Goroff and A. Sagnotti, “Quantum Gravity At Two Loops,” Phys. Lett. B 160
1985
Earlier work this paper cites.
H.Friedrich, “On Purely Radiative Space-Times,” Commun. Math. Phys. 103
1986
Earlier work this paper cites.
M. H. Goroff and A. Sagnotti, “The Ultraviolet Behavior of Einstein Gravity,” Nucl. Phys. B 266
1986
Earlier work this paper cites.
L. Hörmander The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis , Berlin, Heidelberg, New York: Springer, 2nd edn., (1990)
1990
Cited alongside, same era.
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
Cited alongside, same era.
J. Dimock, “Quantized electromagnetic field on a manifold,” Rev. Math. Phys. 4
1992
Cited alongside, same era.
D. M. Marolf, “The Generalized Peierls bracket,” Annals Phys. 236
1994
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.
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
D. Siemssen, “Quantization of the electromagnetic potential in asymptotically flat spacetimes,” Diploma thesis (2011) Universität Hamburg, avilable at http://www.desy.de/uni-th/theses/Dipl_Siemssen.pdf
2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
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.
S. Hollands, “Aspects of Quantum Field Theory in Curved Spacetime”. Ph.D.thesis, University of York, 2000, advisor B.S. Kay
2000
Cited alongside, same era.
S. Hollands and R. M. Wald, “Local Wick polynomials and time ordered products of quantum fields in curved space-time,” Commun. Math. Phys. 223
2001
Cited alongside, same era.
H. Sahlmann and R. Verch, “Microlocal spectrum condition and Hadamard form for vector valued quantum fields in curved space-time,” Rev. Math. Phys. 13
2001
Cited alongside, same era.
S. Hollands and A. Ishibashi, “Asymptotic flatness and Bondi energy in higher dimensional gravity,” J. Math. Phys. 46
2005
Cited alongside, same era.
C. Dappiaggi, V. Moretti and N. Pinamonti, “Rigorous steps towards holography in asymptotically flat spacetimes,” Rev. Math. Phys. 18
2006
Cited alongside, same era.
V. Moretti, “Uniqueness theorem for BMS-invariant states of scalar QFT on the null boundary of asymptotically flat spacetimes and bulk-boundary observable algebra correspondence,” Commun. Math. Phys. 268
2006
Cited alongside, same era.
2012
Later among the works it cites.
D. S. Hunt, “The Quantization of Linear Gravitational Perturbations and the Hadamard Condition,” PhD thesis, (2012) University of York, available here
2012
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
C. J. Fewster and R. Verch, “The Necessity of the Hadamard Condition,” Class. Quant. Grav. 30
2013
Later among the works it cites.
2013
Later among the works it cites.
S. Murro, “Hadamard states for linearized gravity on asymptotically flat spacetimes”, MSc thesis, University of Pavia (2013)
2013
Later among the works it cites.
K. Sanders, “A note on spacelike and timelike compactness,” Class. Quant. Grav. 30
2013
Later among the works it cites.
2014
Closest in time.
2014
Closest in time.
2014
Closest in time.