Abstract
The theory of quantized fields in curved spacetime has reached a high level of development, and a number of important physical consequences have been predicted. By treating the metric of the gravitational field classically, one avoids the nonrenormalizability problems of quantized gravity, but nevertheless retains a wide domain of applicability. I have already given a recent review of quantized fields in curved spacetime [L. Parker, 1977], in which the creation of elementary particles by strong gravitational fields (as in cosmology and near black holes) was emphasized. The present lectures will emphasize material which was not covered in the previous review.
Work supported by the National Science Foudation(PHY77-07111).
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References
Adler, S. L., Lieberman, J., and Ng, Y. J. 1977 Ann. Phys. (N.Y.) 106, 279.
Bernard, C. and Duncan, A. 1977 Ann. Phys. (N.Y.) 107, 201.
Brown, L. S. 1977 Phys. Rev. D15, 1469.
Brown, L. S. and Cassidy, J. P. 1977a Phys. Rev. D15, 2810.
Brown, L. S. and Cassidy, J. P. 1977b Phys. Rev. D16, 1712.
Brown, M. 1978 “Actions and Anomalies,” preprint, U. of Texas at Austin.
Bunch, T. S. 1977 Ph.D. Thesis, King’s College, London (unpublished).
Bunch, T. S. 1978a J. Phys. All, 603.
Bunch, T. S. 1978b J. Phys. A (to be published).
Bunch, T. S. and Davies, P.C.W. 1977 Proc. Roy. Soc. A357, 381.
Capper, D. M. and Duff, M. J. 1974 Nuovo Cim. A23, 173.
Capper, D. M. and Duff, M. J. 1975 Phys. Lett. 53A, 361.
Cheng, K. S. 1972 J. Math. Phys. 13, 1723.
Chitre, D. M. and Hartle, J. B. 1977 Phys. Rev. D16, 251.
Christensen, S. M. 1976 Phys. Rev. D14, 2490.
Christensen, S. M. and Fulling, S. A. 1977 Phys. Rev. D15, 2088
Davies, P.C.W., Fulling, S. A., and Unruh, W. G. 1976 Phys. Rev D13, 2720.
Davies, P.C.W,. and Fulling, S. A. 1977 Proc. Roy. Soc. A354, 59
Deser, S., Duff, M. J., and Isham, C. J. 1976 Nucl. Phys. B111, 45.
DeWitt, B. S. 1957 Rev. Mod. Phys. 29, 377.
DeWitt, B. S. 1964 Dynamical Theory of Groups and Fields (Gordon and Breach, N.Y).
DeWitt, B. S. 1975 Phys. Reports 19C, 295.
DeWitt-Morette, C. 1972 Commun. Math. Phys. 28, 47.
DeWitt-Morette, C. 1974 Commun. Math. Phys. 37, 63.
Dowker, J. S. and Critchley, R. 1976a Phys. Rev. D13, 3224.
Dowker, J. S. and Critchley, R. 1976b J. Phys. A9, 535.
Dowker, J. S. and Critchley, R. 1977a Phys. Rev. D16, 3390.
Dowker, J. S. and Critchley, R. 1977b Phys. Rev. D15, 1484.
Dowker, J. S. and Altaie, M. B. 1978 Phys. Rev. D17, 417.
Feynman, R. P. and Hibbs, A. R. 1969 Quantum Mechanics and Path Integrals ( McGraw-Hill, N.Y.).
Ford, L. M. 1975 Phys. Rev. D11, 3370.
Ford, L. M. 1976 Phys. Rev. D14, 3304.
Fradkin, E. S. and Vilkowisky, G. A. 1978 Phys. Lett. 73B, 209.
Fulling, S. A., Parker, L., and Hu, B. L. 1974 Phys. Rev. DIP, 3905.
Gibbons, G. W. and Hawking, S. W. 1977 Phys. Rev. D15, 2752.
Gibbons, G. W. 1977 “On Functional Integrals in Curved Spacetime,” preprint (to appear in Commun. Math. Phys.).
Hartle, J. B. and Hawking, S. W. 1976 Phys. Rev. D13, 2188.
Hawking, S. W. 1977 Commun. Math. Phys. 55, 133.
Horowitz, G. and Wald, R. M. 1978 Phys. Rev. D17, 414.
Hu, B. L. 1978 (to be published).
Lapedes, A. S. 1978 Phys. Rev. D17, 2556.
McKean, H. P. and Singer, J. M. 1967 J. Diff. Geom. 1, 43.
Minakshisundaram, S. and Pleijel, A. 1949 Can. J. Math. 1, 242.
Misner, C. W., Thorne, K. S., and Wheeler, J. A. 1973 Gravitation (W. H. Freeman and Company, San Francisco).
Parker, L. 1966 Ph.D. Thesis, Harvard University (unpublished).
Parker, L. 1968 Phys. Rev. Lett. 21, 562.
Parker, L. 1969 Phys. Rev. 183, 1057.
Parker, L. 1973 Phys. Rev. D7, 976.
Parker, L. 1975 “Quantized Fields and Particle Creation in Curved Spacetime”, in Relativity, Fields, Strings and Gravity, edited by C. Aragone ( Universidad Simon Bolivar, Caracas, Venezuela ).
Parker, L. 1977 “The Production of Elementary Particles by Strong Gravitational Fields,” pp. 107–227 in Asymptotic Structure of Space-Time, edited by F. P. Esposito and L. Witten (Plenum Press, N.Y.).
Parker, L. 1978 “Path Integrals for a Particle in Curved Space,” preprint (University of Wisconsin-Milwaukee).
Petrov, A. Z. 1969 Einstein Spaces (Pergamon Press, N.Y.)
Tsao, H. S. 1977 Phys. Lett. 68B, 79.
Vilenkin, A. 1978 “Pauli-Villars Regularization and Trace Anomalies,” preprint, Case Western Reserve Univ., Cleveland, Ohio.
Wald, R. M. 1977 Commun. Math. Phys. 54, 1.
Wald, R. M. 1978a Ann. Phys. (N.Y.) 110, 472.
Wald, R. M. 1978b Phys. Rev. D17, 1477.
Zeldovich, Ya. B. and Starobinsky, A. A. 1972 JETP 34, 1159 [Zh. Eksp. Teor. Fiz. 61, 2161 (1971)].
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Parker, L. (1979). Aspects of Quantum Field Theory in Curved Space-Time: Effective Action and Energy-Momentum Tensor. In: Lévy, M., Deser, S. (eds) Recent Developments in Gravitation. NATO Advanced Study Institutes Series, vol 44. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2955-8_6
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