Abstract
During the last years many efforts have been made to study quantum field theory in given unquantized space-times. This external field approach for the influence of classical gravitational fields is generally regarded as some sort of semi-classical approximation to a full quantum theory of gravity. It is assumed that characteristic physical traits which show up in this approximation will be at least heuristically important for the construction of the full theory. Furthermore the approximation has its own domain of application during the very early stages of the universe and outside black holes.
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References
Audretsch, J., 1979, Cosmological particle creation as above-barrier reflection: approximation method and applications, J. Phys. A.; Math. Gen., 12:1189.
Audretsch, J., and Spangehl, P., 1985, Mutually interacting quantum fields in an expanding universe: decay of a massive particle, Class. Quantum Gray., 2:733.
Audretsch, J. and Spangehl, P., 1986, Gravitational amplification and attenuation as part of the mutual interaction of quantum fields in curved space-times, Phys. Rev. D, 33:997.
Audretsch, J. and Spangehl, P., 1987, Improved concepts for the discussion of mutually interacting quantum fields in Robertson-Walker universes, Phys. Rev. D, 35:2365.
Audretsch, J., Rüger, A., and Spangehl, P., 1987, Decay of massive particles in Robertson-Walker universes with statically bounded expansion laws, Class. Quantum Grav., 4:975.
Audretsch, J., 1988, On the optical theorem in curved space-time quantum field theory, lectures given at the colloquium in Les Treilles, July 1988 (will appear in Int. J. Theor. Phys.).
Audretsch, J., 1989, Applications of the curved space-time optical theorem, manuscript University of Konstanz.
Birrell, N.D., and Davies, P.C.W., 1978, Massless Thirring model in curved space: Thermal states and conformai anomaly, Phys. Rev. D, 18:4408.
Birrell, N.D., and Ford, L.H., 1979, Self-interacting quantized fields and particle creation in Robertson-Walker universes, Ann. Phys., 122:1.
Birrell, N.D., Davies, P.C.W., and Ford, L.H., 1980, Effects of field interactions upon particle creation in Robertson-Walker universes, J. Phys. A.: Math. Gen., 13:961.
Birrell, N.D., 1981, Interacting quantum field theory in curved space-time, in,: “Quantum Gravity 2”, C.J. Isham, R. Penrose and D.W. Sciama, eds., Clarendon, Oxford.
Birrell, N.D., and Davies, P.C.W., 1982, “Quantum Fields in Curved Space”, CUP, Cambridge.
Davies, P.C.W. and Fulling, S.A., 1977, Radiation from moving mirrors and from black holes, Proc. R. Soc. London A, 350:23
Ford, L.H., 1982, Particle decay and CPT non-invariance in cosmology, Nucl. Phys. B, 204:35.
Ford, L.H., 1984, Aspects of interacting quantum field theory in curved space-time: renormalization and symmetry breaking, in.: “Quantum theory of gravity”, S.M. Christensen, ed., Hilger, Bristol.
Ford, L.H., 1988, Recent advances in quantum field theory in curved spacetime, in: Highlights in gravitation and cosmology, B.R. Iyer, A. Kembhavi, J.V. Narlikar, C.V. Vishveshwara, eds. CUP, Cambridge.
Friedman, J.A., 1989, Particle creation in inhomogenuous space-times, Phys. Rev. D, 39:389.
Gibbons, G.W. and Perry, M.J., 1978, Black holes and thermal Green Functions, Prod. R. Soc. London A, 358:467.
Leahy, D.A. and Unruh, W.G., 1983, Effects of a 4 interaction on black-hole evaporation in two dimensions, Phys. Rev. D, 28:694.
Lotze, K.H., 1985a, Effects of the electromagnetic interaction upon particle creation in Robertson-Walker universes: I. A general framework for the calculation of particle creation, Class. Quantum Grav., 2:351.
Lotze, K.H., 1985b, Effects of the electromagnetic interaction upon particle creation in Robertson-Walker universes: II. A soluble example, Class. Quantum Grav., 2:363.
Lotze, K.H., 1987, Particle decay and violation of CPT invariance in expanding universes: the °-2 model, Class. Quantum Grav., 4:1437.
Lotze, K.H., 1988, Emission of a photon by an electron in Robertson-Walker universes, Class. Quantum Grav., 5:595.
Lotze, K.H., 1989, Pair creation by a photon and the time-reversed process in a Robertson-Walker universe with time-symmetric expansion, Nuclear Phys. B, 312:673.
Panangaden, P. and Wald, R.M., 1977, Probability distribution for radiation from a black hole in the presence of incoming radiation, Phvs. Rev. D, 16:929.
Papastamatiou, N.J., and Parker, L., 1979, Asymmetric creation of matter and antimatter in the expanding universe, Phys. Rev.D, 19:2283.
Parker, L., 1969, Quantized fields and particle creation in expanding universes I, Phvs. Rev., 183:1057.
Parker, L., 1971, Quantized fields and particle creation in expanding universes II, Phys. Rev. D, 3:346.
Unruh, W.G., and Weiss, N., 1984, Acceleration radiation in interacting field theories, Phvs. Rev. D, 29:1656.
Wald, R.M., 1976, Stimulated-emission effects of particle creation near black holes, Phys. Rev. D, 13:3176.
Wald, R.M., 1979, Existence of the S-matrix in quantum field theory in curved space-time, Ann. Phys., 118:490.
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Audretsch, J. (1990). Mutually Interacting Quantum Fields in Curved Space-Times: The Outcome of Physical Processes. In: Audretsch, J., de Sabbata, V. (eds) Quantum Mechanics in Curved Space-Time. NATO ASI Series, vol 230. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3814-1_9
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DOI: https://doi.org/10.1007/978-1-4615-3814-1_9
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