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We give a complete framework for the Gupta-Bleuler quantization of the free electromagnetic field on globally hyperbolic space-times.
by same author, Erratum: “Proof of the charge superselection rule in local relativistic quantum field theory” (J. Math. Phys. 15
1931
Earlier work this paper cites.
X.P. Wang, Asymptotic expansion in time of the Schrödinger group on conical manifolds , Ann. Inst. Fourier (Grenoble) 56
1945
Earlier work this paper cites.
K. Bleuler, Eine neue Methode zur Behandlung der longitudinalen und skalaren Photonen , Helvetica Phys. Acta 23
1950
Earlier work this paper cites.
S.N. Gupta, Theory of longitudinal photons in quantum electrodynamics , Proc. Phys. Soc. Sect. A. 63
1950
Earlier work this paper cites.
R.F. Streater, Spontaneous breakdown of symmetry in axiomatic theory , Proc. Roy. Soc. Ser. A 287
1965
Earlier work this paper cites.
B. Lautrup, Canonical quantum electrodynamics in covariant gauges , Mat. Fys. Medd. Dan. Vid. Selsk. 35
1966
Earlier work this paper cites.
F. Strocchi, Gauge problem in quantum field theory , Phys. Rev. (2) 162
1967
Earlier work this paper cites.
F. Strocchi and A.S. Wightman, Proof of the charge superselection rule in local relativistic quantum field theory , J. Math. Phys. 15
1974
Earlier work this paper cites.
M.F. Atiyah, V.K. Patodi, and I.M. Singer, Spectral asymmetry and Riemannian geometry. I , Math. Proc. Cambridge Philos. Soc. 77
1975
Earlier work this paper cites.
A. Ashtekar and A. Sen, On the role of space-time topology in quantum phenomena: superselection of charge and emergence of nontrivial vacua , J. Math. Phys. 21
1980
Earlier work this paper cites.
J. Dimock, Algebras of local observables on a manifold , Comm. 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 spacetime. II , Ann. Physics 136
1981
Earlier work this paper cites.
N. Dencker, On the propagation of polarization sets for systems of real principal type , J. Funct. Anal. 46
1982
Earlier work this paper cites.
L. Hörmander, The Analysis of Linear Partial Differential Operators. III , Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 274, Springer-Verlag, Berlin, 1985
1985
Earlier work this paper cites.
M.E. Peskin and A. Tonomura, The Aharonov-Bohm Effect , Lecture Notes in Physics, vol. 340, Springer Verlag, Berlin, 1989
1989
Earlier work this paper cites.
F. John, Partial Differential Equations , fourth ed., Applied Mathematical Sciences, vol. 1, Springer-Verlag, New York, 1991
1991
Earlier work this paper cites.
by same author, Quantized electromagnetic field on a manifold , Rev. Math. Phys. 4
1992
Cited alongside, same era.
M. Henneaux and C. Teitelboim, Quantization of Gauge Systems , Princeton University Press, Princeton, NJ, 1992
1992
Cited alongside, same era.
R.B. Melrose, The Atiyah-Patodi-Singer Index Theorem , Research Notes in Mathematics, vol. 4, A K Peters Ltd., Wellesley, MA, 1993
1993
Cited alongside, same era.
W. Müller, Eta invariants and manifolds with boundary , J. Differential Geom. 40
1994
Cited alongside, same era.
E.P. Furlani, Quantization of the electromagnetic field on static space-times , J. Math. Phys. 36
1995
Cited alongside, same era.
by same author, Geometric Scattering Theory , Stanford Lectures, Cambridge University Press, Cambridge, 1995
by same author, Existence of local covariant time ordered products of quantum field in curved spacetime , arXiv:gr-qc/0111108, Comm. Math. Phys. 231
2002
Later among the works it cites.
A. Strohmaier, R. Verch, and M. Wollenberg, Microlocal analysis of quantum fields on curved space-times: analytic wave front sets and Reeh-Schlieder theorems , arXiv:math-ph/0202003, J. Math. Phys. 43
2002
Later among the works it cites.
A.N. Bernal and M. Sánchez, On smooth Cauchy hypersurfaces and Geroch’s splitting theorem , arXiv:gr-qc/0306108, Comm. Math. Phys. 243
2003
Later among the works it cites.
C.J. Fewster and M.J. Pfenning, A quantum weak energy inequality for spin-one fields in curved space-time , arXiv:gr-qc/0303106, J. Math. Phys. 44
2003
Later among the works it cites.
by same author, Le saut en zéro de la fonction de décalage spectral , J. Funct. Anal. 212
2004
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1995
Cited alongside, same era.
S. Weinberg, The Quantum Theory of Fields. Vol. I , Cambridge University Press, Cambridge, 1996, Foundations, Corrected reprint of the 1995 original
1995
Cited alongside, same era.
R. Brunetti, K. Fredenhagen, and M. Köhler, The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes , arXiv:gr-qc/9510056, Comm. Math. Phys. 180
1996
Cited alongside, same era.
W. Greiner and J. Reinhardt, Field quantization , Springer-Verlag, Berlin, 1996
1996
Cited alongside, same era.
M.J. Radzikowski, Micro-local approach to the Hadamard condition in quantum field theory on curved space-time , Comm. Math. Phys. 179
1996
Cited alongside, same era.
R. Brunetti and K. Fredenhagen, Interacting quantum fields in curved space: renormalizability of ϕ 4 \phi^{4} , arXiv:gr-qc/9701048, Operator Algebras and Quantum Field Theory (Rome, 1996), Int. Press, Cambridge, MA, 1997, pp. 546–563
1997
Cited alongside, same era.
M. Dütsch and K. Fredenhagen, A local (perturbative) construction of observables in gauge theories: the example of QED , arXiv:hep-th/9807078, Comm. Math. Phys. 203
1999
Cited alongside, same era.
Later among the works it cites.
C. Bär, N. Ginoux, and F. Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization , ESI Lectures in Mathematics and Physics, European Mathematical Society (EMS), Zürich, 2007
2007
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2008
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2010
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2010
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2011
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2012
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2012
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2012
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2013
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