Fulling, S. A.; Narcowich, F. J.; Wald, Robert M. Singularity structure of the two-point function in quantum field theory in curved spacetime. II. (English) Zbl 0495.35054 Ann. Phys. 136, 243-272 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 62 Documents MSC: 35L67 Shocks and singularities for hyperbolic equations 81T08 Constructive quantum field theory Keywords:singularity structure; two-point function; quantum field theory; curved spacetime; free, scalar, real, massive quantum field; Hadamard elementary solution; stress-energy-momentum tensor; S-matrix; Feynman propagator PDF BibTeX XML Cite \textit{S. A. Fulling} et al., Ann. Phys. 136, 243--272 (1982; Zbl 0495.35054) Full Text: DOI References: [1] Adler, S.L.; Lieberman, J., Ann. phys. (N.Y.), 113, 294-303, (1978) [2] Adler, S.L.; Lieberman, J.; Ng, Y.J., Ann. phys. (N.Y.), 106, 279-321, (1977) [3] Berezin, F.A., The method of second quantization, () · Zbl 0131.44805 [4] Bunch, T.S.; Christensen, S.M.; Fulling, S.A., Phys. rev. D, 18, 4435-4459, (1978) [5] Bunch, T.S.; Parker, L., Phys. rev. D, 20, 2499-2510, (1979) [6] Chernoff, P.R., J. funct. anal., 12, 401-414, (1973) [7] Chevalier, M., J. math. pures appl., 53, 223-250, (1974) [8] Christensen, S.M., Phys. rev. D, 14, 2490-2502, (1976) [9] Christensen, S.M., Phys. rev. D, 17, 946-963, (1978) [10] Combet, E., Solutions élémentaires des dalembertiens Généralisés, () · Zbl 0127.04907 [11] Combet, E., C. R. acad. sci. Paris, 260, 6297-6299, (1965) [12] Combet, E., C. R. acad. sci. Paris A, 262, 1077-1080, (1966) [13] Cordes, H.O., Math. ann., 195, 257-272, (1972) [14] Davies, P.C.W.; Fulling, S.A.; Christensen, S.M.; Bunch, T.S., Ann. phys. (N.Y.), 109, 108-142, (1977) [15] DeWitt, B.S., () [16] DeWitt, B.S., Phys. rep., 19, 295-357, (1975) [17] DeWitt, B.S.; Brehme, R.W., Ann. phys. (N.Y.), 9, 220-259, (1960) [18] Dimock, J., Commun. math. phys., 77, 219-228, (1980) [19] Friedlander, F.G., The wave equation on a curved space-time, () · Zbl 0316.53021 [20] Fulling, S.A., Scalar quantum field theory in a closed universe of constant curvature, () · Zbl 1103.81031 [21] Fulling, S.A., Phys. rev. D, 7, 2850-2862, (1973) [22] Fulling, S.A., (), 187-198 [23] Fulling, S.A.; Sweeny, M.; Wald, R.M., Commun. math. phys., 63, 257-264, (1978) [24] Garabedian, P.R., () [25] Gel’fand, I.M.; Shilov, G.E., (), Vol. 1: Properties and Operations [26] Guillemin, V.; Sternberg, S., Geometric asymptotics, () · Zbl 0503.58018 [27] Hadamard, J., () [28] Hicks, N.J., () [29] Hörmander, L., Commun. pure appl. math., 11, 197-218, (1958) [30] Hörmander, L., Acta math., 121, 193-218, (1968) [31] Hörmander, L., (), 155-202, (1965-1966) [32] Isham, C.J., (), 459-512 [33] Kay, B.S., Commun. math. phys., 62, 55-70, (1978) [34] Leray, J., () [35] Moreno, C., J. math. phys., 18, 2153-2161, (1977) [36] Parker, L., (), 219-273 [37] Robertson, A.P.; Robertson, W., Topological vector spaces, () · Zbl 0153.16203 [38] Rumpf, H., Phys. rev. D, 24, 275-289, (1981) [39] Schwartz, L., (), 220-230 [40] Treves, F., Topological vector spaces, distributions and kernels, () · Zbl 0171.10402 [41] Treves, F., Basic linear partial differential equations, () · Zbl 0209.12001 [42] Wald, R.M., Commun. math. phys., 54, 1-19, (1977) [43] Wald, R.M., Ann. phys. (N.Y.), 110, 472-486, (1978) [44] Wald, R.M., Phys. rev. D, 17, 1477-1484, (1978) [45] Wald, R.M., Ann. phys. (N.Y.), 118, 490-510, (1979) [46] Wald, R.M., Commun. math. phys., 70, 221-242, (1979) [47] Wald, R.M., J. math. phys., 21, 2802-2805, (1980) [48] Wightman, A.S., (), 171-291 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.