Quantum scalar field in the FRW universe with a constant electromagnetic background

International Journal of Modern Physics A

Volumn 12, Issue 27, 1997, Pages 4837-4867

  Gavrilov, S P ^a,b   Gitman, D M ^a   Odintsov, S D ^a,b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b TOMSK STATE PEDAGOGICAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000682739     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X97002589     Document Type: Article

References (60)

1. J. Schwinger, Phys. Rev. 82, 664 (1951).
2. B. S. DeWitt, Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965);
3. Phys. Rep. C19, 295 (1975).
4. D. M. Gitman, J. Phys. A10, 2007 (1977);
5. S. P. Gavrilov and D. M. Gitman, Sov. Phys. J. 6, 491 (1980).
6. E. S. Pradkin and D. M. Gitman, preprint MIT (1978), pp. 1-58; preprint KFKI-1979-83, pp. 1-105; preprint PhIAN (P. N. Lebedev Institute) 106 (1979), pp. 1-62; 107 (1979), pp. 1-40; Fortschr. Phys. 29, 381 (1981).
7. E. S. Fradkin, D. M. Gitman and S. M. Shvartsman, Quantum Electrodynamics with Unstable Vacuum (Springer-Verlag, Berlin, 1991).
8. I. L. Buchbinder and D. M. Gitman, Izv. VUZov Fiz. (Sov. Phys. J.) 3, 90 (1979);
9. I. L. Buchbinder and D. M. Gitman, Izv. VUZov Fiz. (Sov. Phys. J.) ibid. 4, 55 (1979);
10. I. L. Buchbinder and D. M. Gitman, Izv. VUZov Fiz. (Sov. Phys. J.) ibid. N7, 16 (1979);
11. I. L. Buchbinder, E. S. Fradkin and D. M. Gitman, Fortschr. Phys. 29, 187 (1981).
12. S. P. Gavrilov, D. M. Gitman and Sh. M. Shvartsman, Sov. J. Nucl. Phys. (USA) 29, 567 (1979);
13. S. P. Gavrilov, D. M. Gitman and Sov. J. Nucl. Phys. (USA) 29, 715 (1979);
14. Kratk. Soob. Fiz. (P. N. Lebedev Inst.) 2, 22 (1979);
15. D. M. Gitman, M. D. Noskov and Sh. M. Shvartsman, Int. J. Mod. Phys. A6, 4437 (1991).
16. M. S. Turner and L. M. Widrow, Phys. Rev. D37, 2743 (1988).
17. M. Gasperini, M. Giovannini and G. Veneziano, Phys. Rev. Lett. 75, 3796 (1995).
18. G. Schäfer and H. Dehnen, J. Phys. A13, 517 (1980).
19. I. L. Buchbinder and S. D. Odintsov, Izv. VUZov Fiz. (Sov. Phys. J.) 5, 12 (1982).
20. I. L. Buchbinder, S. D. Odintsov and I. L. Shapiro, Effective Action in Quantum Gravity (IOP, Bristol, Philadelphia, 1992).
21. I. L. Buchbinder and S. D. Odintsov, Izv. VUZov Fiz. (Sov. Phys. J.) 8, 50 (1983);
22. I. L. Buchbinder and S. D. Odintsov, Izv. VUZov Fiz. (Sov. Phys. J.) ibid. 12, 108 (1983);
23. Yad. Fiz. (Sov. J. Nucl. Phys.) 40, 1338 (1984);
24. Lett. Nuovo Cimento 42, 379 (1985);
25. T. Muta and S. D. Odintsov, Mod. Phys. Lett. A6, 3641 (1991).
26. I. L. Buchbinder, E. N. Kirillova and S. D. Odintsov, Class. Quantum Grav. 4, 711 (1987).
27. S. Coleman and E. Weinberg, Phys. Rev. D7, 1888 (1973);
28. M. B. Einhorn and D. R. Jones, Nucl. Phys. B211, 29 (1983);
29. G. B. West, Phys. Rev. 27, 1402 (1983);
30. K. Yamagishi, Nucl. Phys. B216, 508 (1983);
31. M. Sher, Phys. Rep. 179, 274 (1989);
32. C. Ford, D. R. T. Jones, P.-W. Stevenson and M. B. Einhorn, Nucl. Phys. B395, 17 (1993).
33. E. Elizalde and S. D. Odintsov, Z. Phys. C64; 699 (1994);
34. Phys. Lett. B303; 240 (1993).
35. M. Bando, T. Kugo, N. Maekawa and H. Nakano, Prog. Theor. Phys. 90, 405 (1993).
36. S. P. Gavrilov and D. M. Gitman, Phys. Rev. D53, 7162 (1996).
37. A. I. Nikishov, Zh. Eksp. Teor. Fiz. 57, 1210 (1969)
38. [Sov. Phys. JETP 30, 660 (1970)];
39. in Quantum Electrodynamics of Phenomena in Intense Fields, Proc. P. N. Lebedev Phys. Inst. (Nauka, Moscow, 1979), Vol. 111, p. 153.
40. N. B. Narozhny and A. I. Nikishov, Theor. Math. Phys. 26, 9 (1976);
41. N. B. Narozhny and A. I. Nikishov, in Problems of Intense Field Quantum Electrodynamics, Proc. P. N. Lebedev Phys. Inst. (Nauka, Moscow 1986), Vol. 168, p. 175.
42. V. Fock, Phys. Z. Sowjetunion 12, 404 (1937).
43. S. P. Gavrilov and D. M. Gitman, J. Math. Phys. 37, 3118 (1996).
44. Higher Transcendental Functions (Bateman Manuscript Project), eds. A. Erdelyi et al. (McGraw-Hill, New York, 1953), Vol. 2.
45. A. A. Grib, S. G. Mamaev and V. M. Mostepanenko, Vacuum Quantum Effects in Strong Fields (Atomizdat, Moscow, 1988; Friedmann Laboratory Publishing, St. Petersburg, 1994).
46. N. A. Chernikov and E. A. Tagirov, Ann. Inst. Henri Poincaré A9, 109 (1968).
47. J. B. Hartle and B. L. Hu, Phys. Rev. D20, 1757 (1979);
48. M. V. Fischetti, J. B. Hartle and B. L. Hu, Phys. Rev. D20, 1772 (1979);
49. P. R. Anderson, Phys. Rev. D28, 271 (1983);
50. P. R. Anderson, Phys. Rev. D29, 615 (1984).
51. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961);
52. W. Bardeen, C. Hill and M. Lindner, Phys. Rev. D41, 1647 (1990).
53. Y. Kluger, J. M. Eisenberg, B. Svetitsky, F. Cooper and E. Mottola, Phys. Rev. D45, 4659 (1992);
54. Y. Kluger, J. M. Eisenberg, B. Svetitsky, F. Cooper and E. Mottola, Phys. Rev. D48, 190 (1993).
55. L. Parker, in Recent Developments in Gravitation, eds. S. Deser and M. Levy (New York, 1978);
56. S. Fulling, Aspects of Quantum Field Theory in Curved Space-Time (Cambridge University Press, 1989);
57. for earlier work, see L. Parker, Phys. Rev. 183, 1057 (1969).
58. K. Milton, Ann. Phys. (USA) 127, 49 (1980);
59. I. Brevik, Ann. Phys. (USA) 138, 36 (1982);
60. for a review, see E. Elizalde, S. D. Odintsov, A. Romeo, A. A. Bytsenko and S. Zerbini, Zéta Regularization with Applications (World Scientific, Singapore, 1994).