Quantum scalar field on the masses (2+1)-dimensional black hole background

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 59, Issue 10, 1999, Pages 1-13

  Binosi, Daniele ^a   Moretti, Valter ^b   Vanzo, Luciano ^b   Zerbini, Sergio ^b  

^a Facolt di Ingegneria   (Italy)

^b UNIVERSITY OF TRENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750837747     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (51)

1. J. D. Bekenstein, in the Seventh Marrell Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, Stanford, California, 1994, edited by R. Jantzen et al. (World Scientific, Singapore, 1996), gr-qc/9409015.
2. V. P. Frolov, Phys. Rev. Lett. 74, 3319 (1994); A. O. Barvinsky, V. P. Frolov, and A. I. Zelnikov, Phys. Rev. D 51, 1741 (1995).
3. V. P. Frolov, Phys. Rev. Lett. 74, 3319 (1994); A. O. Barvinsky, V. P. Frolov, and A. I. Zelnikov, Phys. Rev. D 51, 1741 (1995).
4. G. 't Hooft, Nucl. Phys. B256, 727 (1985); L. Susskind and J. Uglum, Phys. Rev. D 50, 2700 (1994); S. Solodukhin, ibid. 51, 609 (1995); G. Cognola, L. Vanzo, and S. Zerbini, ibid. 52, 4548 (1995); Class. Quantum Grav. 12, 1927 (1995); D. V. Fursaev, Phys. Rev. D 51, 5352 (1995); V. P. Frolov, D. V. Fursaev, and A. I. Zelnikov, ibid. 54, 2711 (1996); V. P. Frolov, W. Israel, and S. Solodukhin, ibid. 54, 2732 (1996).
5. G. 't Hooft, Nucl. Phys. B256, 727 (1985); L. Susskind and J. Uglum, Phys. Rev. D 50, 2700 (1994); S. Solodukhin, ibid. 51, 609 (1995); G. Cognola, L. Vanzo, and S. Zerbini, ibid. 52, 4548 (1995); Class. Quantum Grav. 12, 1927 (1995); D. V. Fursaev, Phys. Rev. D 51, 5352 (1995); V. P. Frolov, D. V. Fursaev, and A. I. Zelnikov, ibid. 54, 2711 (1996); V. P. Frolov, W. Israel, and S. Solodukhin, ibid. 54, 2732 (1996).
6. G. 't Hooft, Nucl. Phys. B256, 727 (1985); L. Susskind and J. Uglum, Phys. Rev. D 50, 2700 (1994); S. Solodukhin, ibid. 51, 609 (1995); G. Cognola, L. Vanzo, and S. Zerbini, ibid. 52, 4548 (1995); Class. Quantum Grav. 12, 1927 (1995); D. V. Fursaev, Phys. Rev. D 51, 5352 (1995); V. P. Frolov, D. V. Fursaev, and A. I. Zelnikov, ibid. 54, 2711 (1996); V. P. Frolov, W. Israel, and S. Solodukhin, ibid. 54, 2732 (1996).
7. G. 't Hooft, Nucl. Phys. B256, 727 (1985); L. Susskind and J. Uglum, Phys. Rev. D 50, 2700 (1994); S. Solodukhin, ibid. 51, 609 (1995); G. Cognola, L. Vanzo, and S. Zerbini, ibid. 52, 4548 (1995); Class. Quantum Grav. 12, 1927 (1995); D. V. Fursaev, Phys. Rev. D 51, 5352 (1995); V. P. Frolov, D. V. Fursaev, and A. I. Zelnikov, ibid. 54, 2711 (1996); V. P. Frolov, W. Israel, and S. Solodukhin, ibid. 54, 2732 (1996).
8. G. 't Hooft, Nucl. Phys. B256, 727 (1985); L. Susskind and J. Uglum, Phys. Rev. D 50, 2700 (1994); S. Solodukhin, ibid. 51, 609 (1995); G. Cognola, L. Vanzo, and S. Zerbini, ibid. 52, 4548 (1995); Class. Quantum Grav. 12, 1927 (1995); D. V. Fursaev, Phys. Rev. D 51, 5352 (1995); V. P. Frolov, D. V. Fursaev, and A. I. Zelnikov, ibid. 54, 2711 (1996); V. P. Frolov, W. Israel, and S. Solodukhin, ibid. 54, 2732 (1996).
9. G. 't Hooft, Nucl. Phys. B256, 727 (1985); L. Susskind and J. Uglum, Phys. Rev. D 50, 2700 (1994); S. Solodukhin, ibid. 51, 609 (1995); G. Cognola, L. Vanzo, and S. Zerbini, ibid. 52, 4548 (1995); Class. Quantum Grav. 12, 1927 (1995); D. V. Fursaev, Phys. Rev. D 51, 5352 (1995); V. P. Frolov, D. V. Fursaev, and A. I. Zelnikov, ibid. 54, 2711 (1996); V. P. Frolov, W. Israel, and S. Solodukhin, ibid. 54, 2732 (1996).
10. G. 't Hooft, Nucl. Phys. B256, 727 (1985); L. Susskind and J. Uglum, Phys. Rev. D 50, 2700 (1994); S. Solodukhin, ibid. 51, 609 (1995); G. Cognola, L. Vanzo, and S. Zerbini, ibid. 52, 4548 (1995); Class. Quantum Grav. 12, 1927 (1995); D. V. Fursaev, Phys. Rev. D 51, 5352 (1995); V. P. Frolov, D. V. Fursaev, and A. I. Zelnikov, ibid. 54, 2711 (1996); V. P. Frolov, W. Israel, and S. Solodukhin, ibid. 54, 2732 (1996).
11. G. 't Hooft, Nucl. Phys. B256, 727 (1985); L. Susskind and J. Uglum, Phys. Rev. D 50, 2700 (1994); S. Solodukhin, ibid. 51, 609 (1995); G. Cognola, L. Vanzo, and S. Zerbini, ibid. 52, 4548 (1995); Class. Quantum Grav. 12, 1927 (1995); D. V. Fursaev, Phys. Rev. D 51, 5352 (1995); V. P. Frolov, D. V. Fursaev, and A. I. Zelnikov, ibid. 54, 2711 (1996); V. P. Frolov, W. Israel, and S. Solodukhin, ibid. 54, 2732 (1996).
12. M. Bañados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992).
13. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
14. S. Carlip, Class. Quantum Grav. 15, 3609 (1998).
15. T. Lee, "The entropy of the BTZ black hole and AdS/CFT correspondence," hep-th/9806113.
16. S. Nojiri and S. D. Odintsov, Mod. Phys. Lett. A 13, 2695 (1998).
17. G. Lifschytz and M. Ortiz, Phys. Rev. D 49, 1929 (1994).
18. A. R. Steif, Phys. Rev. D 49, 585 (1994).
19. K. Shiraishi and T. Maki, Phys. Rev. D 49, 5286 (1994); Class. Quantum Grav. 11, 699 (1994).
20. K. Shiraishi and T. Maki, Phys. Rev. D 49, 5286 (1994); Class. Quantum Grav. 11, 699 (1994).
21. C. Martinez and J. Zanelli, Phys. Rev. D 55, 3642 (1997).
22. R. B. Mann and S. N. Solodukhin, Phys. Rev. D 55, 3622 (1997).
23. I. Ichinose and Y. Satoh, Nucl. Phys. B447, 340 (1995).
24. S. Carlip and C. Teitelboim, Phys. Rev. D 51, 622 (1995).
25. G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15, 2752 (1977).
26. M. Bañados, M. Heanneaux, C. Teitelboim, and J. Zanelli, Phys. Rev. D 48, 1506 (1993).
27. S. Deser, R. Jackiw, and G. 't Hooft, Ann. Phys. (N.Y.) 152, 220 (1984).
28. A. A. Bytsenko, L. Vanzo, and S. Zerbini, Phys. Rev. D 57, 4917 (1998).
29. A. A. Bytsenko, K. Kirsten, and S. Zerbini, Mod. Phys. Lett. A 9, 1569 (1994).
30. A. A. Bytsenko, G. Cognola, and S. Zerbini, J. Phys. A 30, 3543 (1997).
31. E. Witten, Nucl. Phys. B311, 46 (1988).
32. T. Brotz, Phys. Rev. D 57, 2349 (1998).
33. S. W. Hawking and G. T. Horowitz, Class. Quantum Grav. 13, 1487 (1996).
34. W. Müller, Commun. Math. Phys. 192, 309 (1998).
35. R. Haag, H. Narnhofer, and U. Stein, Commun. Math. Phys. 94, 219 (1984); B. S. Kay and R. M. Wald, Phys. Rep. 207, 49 (1991); H. Hessling, Nucl. Phys. B415, 243 (1994); V. Moretti, Class. Quantum Grav. 13, 985 (1996).
36. R. Haag, H. Narnhofer, and U. Stein, Commun. Math. Phys. 94, 219 (1984); B. S. Kay and R. M. Wald, Phys. Rep. 207, 49 (1991); H. Hessling, Nucl. Phys. B415, 243 (1994); V. Moretti, Class. Quantum Grav. 13, 985 (1996).
37. R. Haag, H. Narnhofer, and U. Stein, Commun. Math. Phys. 94, 219 (1984); B. S. Kay and R. M. Wald, Phys. Rep. 207, 49 (1991); H. Hessling, Nucl. Phys. B415, 243 (1994); V. Moretti, Class. Quantum Grav. 13, 985 (1996).
38. R. Haag, H. Narnhofer, and U. Stein, Commun. Math. Phys. 94, 219 (1984); B. S. Kay and R. M. Wald, Phys. Rep. 207, 49 (1991); H. Hessling, Nucl. Phys. B415, 243 (1994); V. Moretti, Class. Quantum Grav. 13, 985 (1996).
39. D. Iellici and V. Moretti, Phys. Lett. B 425, 33 (1998).
40. V. Moretti, Commun. Math. Phys. 201, 327 (1999).
41. V. Moretti, Phys. Rev. D 56, 7797 (1997).
42. V. Moretti, "One-loop stress-tensor renormalization in curved background: the relation between ζ-function and point-splitting approaches, and an improved point-splitting procedure," gr-qc/9809006.
43. E. Toumboulis, Phys. Lett. 70B, 361 (1977).
44. C. G. Callan, S. B. Giddings, J. A. Harvey, and A. Strominger, Phys. Rev. D 45, 1005 (1992).
45. J. W. York, Phys. Rev. D 31, 775 (1985).
46. M. M. Caldarelli, Phys. Rev. D 58, 064008 (1998).
47. R. B. Mann, Class. Quantum Grav. 14, 2927 (1997).
48. L. Vanzo, Phys. Rev. D 56, 6475 (1997).
49. D. R. Brill, J. Louko, and P. Peldan, Phys. Rev. D 56, 3600 (1997).
50. R. Camporesi, Phys. Rep. 196, 1 (1990).
51. A. A. Bytsenko, G. Cognola, L. Vanzo, and S. Zerbini, Phys. Rep. 266, 1 (1996).