The method of covariant symbols in curved space-time

European Physical Journal C

Volumn 49, Issue 3, 2007, Pages 831-850

  Salcedo, L L ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846702661     PISSN: 14346044     EISSN: 14346052     Source Type: Journal    
DOI: 10.1140/epjc/s10052-006-0133-2     Document Type: Article

References (65)

1. J.S. Dowker, R. Critchley, Phys. Rev. D 13, 3224 (1976)
2. S.W. Hawking, Commun. Math. Phys. 55, 133 (1977)
3. E. Elizalde, S.D. Odintsov, A. Romeo, A.A. Bytsenko, S. Zerbini, Zeta Regularization Techniques with Applications (World Scientific, Singapore, 1994)
4. L.L. Salcedo, E. Ruiz Arriola, Ann. Phys. 250, 1 (1996) [hep-th/9412140]
5. R.T. Seeley, Proc. Symp. Pure Math. 10, 288 (1967)
6. T. Eguchi, P.B. Gilkey, A.J. Hanson, Phys. Rep. 66, 213 (1980)
7. R.I. Nepomechie, Phys. Rev. D 31, 3291 (1985)
8. E.P. Wigner, Phys. Rev. 40, 749 (1932)
9. P. Carruthers, F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983)
10. H. Weyl, Z. Phys. 46, 1 (1927)
11. J.S. Schwinger, Phys. Rev. 82, 664 (1951)
12. B.S. DeWitt, Phys. Rep. 19, 295 (1975)
13. P.B. Gilkey, J. Differ. Geom. 10, 601 (1975)
14. I.G. Avramidi, Nucl. Phys. Proc. Suppl. 104, 3 (2002) [math-ph/0107018]
15. K. Kirsten, Spectral Functions in Mathematics and Physics (Chapman & Hall/CRC Press, Boca Raton, 2002)
16. D.V. Vassilevich, Phys. Rep. 388, 279 (2003) [hep-th/0306138]
17. L.-H. Chan, Phys. Rev. Lett. 57, 1199 (1986)
18. R.D. Ball, Phys. Rep. 182, 1 (1989)
19. L.L. Salcedo, Eur. Phys. J. C 37, 511 (2004) [hep-th/0409140]
20. A.O. Barvinsky, G.A. Vilkovisky, Nucl. Phys. B 282, 163 (1987)
21. V.P. Gusynin, Phys. Lett. B 225, 233 (1989)
22. V.P. Gusynin, V.A. Kushnir, Sov. J. Nucl. Phys. 51, 373 (1990)
23. I.G. Avramidi, Nucl. Phys. B 355, 712 (1991)
24. I.G. Avramidi, J. Math. Phys. 37, 374 (1996) [hep-th/9406047]
25. A.A. Bel'kov, A.V. Lanyov, A. Schaale, Comput. Phys. Commun. 95, 123 (1996) [hep-ph/9506237]
26. A.E.M. van de Ven, Class. Quantum Grav. 15, 2311 (1998) [hep-th/9708152]
27. I.G. Moss, W. Naylor, Class. Quantum Grav. 16, 2611 (1999) [gr-qc/0101125]
28. S. Yajima, Class. Quantum Grav. 5, L207 (1988)
29. S. Yajima, Class. Quantum Grav. 13, 2423 (1996)
30. Y.V. Novozhilov, D.V. Vassilevich, Lett. Math. Phys. 21, 253 (1991)
31. A. Ceresole, P. Pizzochero, P. van Nieuwenhuizen, Phys. Rev. D 39, 1567 (1989)
32. M.J. Pflaum, New York J. Math. 4, 97 (1998) [dg-ga/9612011]
33. L.L. Salcedo, Nucl. Phys. B 549, 98 (1999) [hep-th/9802071]
34. C. García-Recio, L.L. Salcedo, Phys. Rev. D 63, 045016 (2001) [hep-th/0007183]
35. E. Megías, E. Ruiz Arriola, L.L. Salcedo, Phys. Lett. B 563, 173 (2003) [hep-th/0212237]
36. E. Megías, E. Ruiz Arriola, L.L. Salcedo, Phys. Rev. D 69, 116003 (2004) [hep-ph/0312133]
37. J.E. Moyal, P. Camb. Philol. Soc. 45, 99 (1949)
38. E. Witten, Nucl. Phys. B 268, 253 (1986)
39. A. Konechny, A.S. Schwarz, Phys. Rep. 360, 353 (2002) [hep-th/0012145]
40. M.R. Douglas, N.A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001) [hep-th/0106048]
41. V. Fock, Phys. Z. Sowjet. 12, 404 (1937)
42. L. Alvarez-Gaume, D.Z. Freedman, S. Mukhi, Ann. Phys. 134, 85 (1981)
43. U. Muller, C. Schubert, A.M.E. van de Ven, Gen. Relat. Grav. 31, 1759 (1999) [gr-qc/9712092]
44. A. Hatzinikitas, hep-th/0001078
45. N.G. Pletnev, A.T. Banin, Phys. Rev. D 60, 105017 (1999) [hep-th/9811031]
46. A.T. Banin, I.L. Buchbinder, N.G. Pletnev, Nucl. Phys. B 598, 371 (2001) [hep-th/0008167]
47. A.T. Banin, N.G. Pletnev, Int. J. Mod. Phys. A 17, 825 (2002) [hep-th/0111100]
48. L.L. Salcedo, Eur. Phys. J. C 20, 161 (2001) [hep-th/0012174]
49. L.L. Salcedo, Phys. Lett. B 530, 244 (2002) [hep-th/0201057]
50. L.L. Salcedo, Eur. Phys. J. C 20, 147 (2001) [hep-th/0012166]
51. L. Álvarez-Gaumé, P. Ginsparg, Ann. Phys. 161, 423 (1985)
52. S. Weinberg, Gravitation and Cosmology (John Wiley and Sons, New York, 1972)
53. V.P. Gusynin, V.A. Kushnir, Class. Quantum Grav. 8, 279 (1991)
54. H.T. Nieh, M.L. Yan, Ann. Phys. 138, 237 (1982)
55. O. Chandia, J. Zanelli, Phys. Rev. D 55, 7580 (1997) [hep-th/9702025]
56. I.L. Buchbinder, I.L. Shapiro, Phys. Lett. B 151, 263 (1985)
57. I.L. Buchbinder, I.L. Shapiro, Class. Quantum Grav. 7, 1197 (1990)
58. I.L. Buchbinder, S.D. Odintsov, I.L. Shapiro, Phys. Lett. B 162, 92 (1985)
59. J. Wess, B. Zumino, Phys. Lett. B 37, 95 (1971)
60. E. Witten, Nucl. Phys. B 223, 422 (1983)
61. L. Alvarez-Gaume, E. Witten, Nucl. Phys. B 234, 269 (1984)
62. W.A. Bardeen, B. Zumino, Nucl. Phys. B 244, 421 (1984)
63. H. Leutwyler, S. Mallik, Z. Phys. C 33, 205 (1986)
64. R.A. Bertlmann, Anomalies in Quantum Field Theory (Oxford University Press, Oxford, 1996)
65. J. Caro, L.L. Salcedo, Phys. Lett. B 309, 359 (1993)