Method for calculating the imaginary part of the Hadamard elementary function G(1) in static, spherically symmetric spacetimes

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 58, Issue 8, 1998, Pages 840281-8402811

  Herman, Rhett ^a  

^a RADFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0542418274     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.58.084028     Document Type: Article

References (33)

1. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
2. N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982).
3. S. S. Schweber, An Introduction to Relativistic Quantum Field Theory (Row, Peterson, and Company, New York, 1961). See Chap. 16 for a discussion of the degree of divergences in QED.
4. J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964).
5. J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields (McGraw-Hill, New York, 1965).
6. B. S. DeWitt, Phys. Rep., Phys. Lett. 19C, 297 (1975).
7. J. S. Schwinger, Phys. Rev. 82, 664 (1951).
8. J. S. Schwinger, Phys. Rev. 82, 664 (1951). Section VI contains the relevant perturbation theory.
9. B. S. DeWitt, The Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965).
10. S. M. Christensen, Phys. Rev. D 14, 2490 (1976).
11. S. M. Christensen, Ph.D. thesis, University of Texas at Austin, 1975.
12. P. Candelas, Phys. Rev. D 21, 2185 (1980).
13. V. P. Frolov, Phys. Rev. D 26, 954 (1982).
14. V. P. Frolov, in Quantum Gravity, Proceedings of the Second Seminar on Quantum Gravity, Moscow, USSR, edited by M. Markov and P. C. West (Plenum, New York, 1984).
15. P. Candelas and K. W. Howard, Phys. Rev. D 29, 1618 (1984).
16. P. Candelas and B. P. Jensen, Phys. Rev. D 33, 1596 (1986).
17. P. R. Anderson, Phys. Rev. D 41, 1152 (1990).
18. K. W. Howard and P. Candelas, Phys. Rev. Lett. 53, 403 (1984); K. W. Howard, Phys. Rev. D 30, 2532 (1984).
19. K. W. Howard and P. Candelas, Phys. Rev. Lett. 53, 403 (1984); K. W. Howard, Phys. Rev. D 30, 2532 (1984).
20. V. P. Frolov and A. I. Zel'nikov, Phys. Rev. D 29, 1057 (1984).
21. M. R. Brown, A. C. Ottewill, and D. N. Page, Phys. Rev. D 33, 2840 (1986).
22. P. R. Anderson, W. A. Hiscock, and D. A. Samuel, Phys. Rev. D 51, 4337 (1995).
23. Rhett Herman, Ph.D. thesis, Montana State University, 1996.
24. R. Herman and W. A. Hiscock (unpublished).
25. Rhett Herman and William A. Hiscock, Phys. Rev. D 53, 3285 (1996).
26. E. T. Whittaker and G. N. Watson, A. Course of Modern Analysis (Cambridge University Press, Cambridge, England, 1927).
27. L. H. Ryder, Quantum Field Theory (Cambridge University Press, Cambridge, England, 1985).
28. P. C. W. Davies, S. A. Fulling, S. M. Christensen, and T. S. Bunch, Ann. Phys. (N.Y.) 109, 108 (1977).
29. Y. Kluger, J. M. Eisenberg, B. Svetitsky, F. Cooper, and E. Mottola, Phys. Rev. D 45, 4659 (1992).
30. G. W. Gibbons, in General Relativity: An Einstein Centenary Survey, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1979).
31. B. Carter, Phys. Rev. 174, 1559 (1968).
32. See, for example, I. D. Novikov and A. A. Starobinskii, Sov. Phys. JETP 51, 1 (1980); W. A. Hiscock and L. Weems, Phys. Rev. D 41, 1142 (1990).
33. See, for example, I. D. Novikov and A. A. Starobinskii, Sov. Phys. JETP 51, 1 (1980); W. A. Hiscock and L. Weems, Phys. Rev. D 41, 1142 (1990).