Quantum scalar field on a three-dimensional (BTZ) black hole instanton: Heat kernel, effective action, and thermodynamics

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 55, Issue 6, 1997, Pages 3622-3632

  Mann, Robert B ^a   Solodukhin, Sergey N ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001663044     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.55.3622     Document Type: Article

References (51)

1. J. D. Brown, M. Henneaux, and C. Teitelboim, Phys. Rev. D33, 319 (1986);
2. R. B. Mann, A. Shiekh, and L. Tarasov, Nucl. Phys.B341, 134 (1990);
3. R. B. Mann, Found. Phys. Lett.4, 425 (1991).
4. J. A. Harvey and A. Strominger, in Recent Directions in Particle Theory—From Superstrings and Black Holes to the Standard Model, Proceedings of the Theoretical Advanced Study Institute in Elementary Particle Physics, Boulder, Colorado, 1992, edited by F. Harvey and F. Polchinshi (World Scientific, Singapore, 1993), Report No. hep-th/9209055 (unpublished); S. B. Giddings, in String Quantum Gravity and Physics at the Planck Energy Scale, Proceedings of the International Workshop, Erice, Italy, 1992, edited by N. Sanchez (World Scientific, Singapore, 1993), Report No. hep-th/9209113 (unpublished).
5. V. P. Frolov, Phys. Rev. D46, 5383 (1992);
6. R. B. Mann, 47, 4438 (1993).
7. M. Bañados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett.69, 1849 (1992).
8. M. Bañados, M. Henneaux, C. Teitelboim, and J. Zanelli, Phys. Rev. D48, 1506 (1993).
9. S. Carlip, Class. Quantum Grav.12, 2853 (1995).
10. S. Carlip and C. Teitelboim, Phys. Rev. D51, 622 (1995).
11. R. B. Mann, in Lower Dimensional Black Holes: Inside and Out, Proceedings of the Winnipeg Conference on Heat Kernels and Quantum Gravity, edited by S. Christensen (Texas A&M Press, 1996), p. 303.
12. R. B. Mann and S. F. Ross, Phys. Rev. D47, 3319 (1993).
13. A. R. Steif, Phys. Rev. D49, R585 (1994).
14. G. Lifschytz and M. Ortiz, Phys. Rev. D49, 1929 (1994).
15. K. Shiraishi and T. Maki, Phys. Rev. D49, 5286 (1994);
16. Class. Quantum Grav.11, 695 (1994).
17. J. D. Bekenstein, in General Relativity, Proceedings of the 7th Marcel Grossmann Meeting, Stanford, California, 1994, edited by R. Ruffini and M. Keiser (World Scientific, Singapore, 1995), Report No. qr-qc/9409015 (unpublished);V. P. Frolov, “Black Hole Entropy and Physics at Planckian Scales,” Report No. hep-th/9510156 (unpublished).
18. L. Susskind and J. Uglum, Phys. Rev. D50, 2700 (1994).
19. T. Jacobson, “Black Hole Entropy and Induced Gravity,” Report No. gr-qc/9404039 (unpublished).
20. S. N. Solodukhin, Phys. Rev. D51, 609 (1995).
21. S. N. Solodukhin, Phys. Rev. D52, 7046 (1995).
22. D. V. Fursaev and S. N. Solodukhin, Phys. Lett. B365, 51 (1996).
23. R. B. Mann and S. N. Solodukhin, Phys. Rev. D54, 3932 (1996).
24. D. Kabat, S. H. Shenker, and M. J. Strassler, Phys. Rev. D52, 7027 (1995).
25. V. P. Frolov, D. V. Fursaev, and A. I. Zelnikov, “Statistical Origin of Black Hole Entropy in Induced Gravity, ” Report No. ALBERTA-THY-20-96, hep-th/9607104 (unpublished).
26. J. M. Maldacena and A. Strominger, Phys. Rev. Lett.77, 428 (1996);
27. G. T. Horowitz, D. A. Lowe, and J. M. Maldacena, 77, 430 (1996).
28. S. N. Solodukhin, Phys. Rev. D53, 824 (1996).
29. V. P. Frolov, W. Israel, and S. N. Solodukhin, Phys. Rev. D54, 2732 (1996).
30. D. V. Fursaev, Phys. Rev. D51, 5352 (1995).
31. O. B. Zaslavskii, Phys. Rev. D53, 4691 (1996).
32. S. Carlip, Phys. Rev. D51, 632 (1995);
33. 55, 878 (1997).
34. I. Ichinose and Y. Satoh, Nucl. Phys.B447, 340 (1995).
35. J. S. Dowker and R. Critchley, Phys. Rev. D15, 1484 (1977).
36. R. Camporesi, Phys. Rep.196, 1 (1990).
37. S. J. Avis, C. J. Isham, and D. Storey, Phys. Rev. D18, 3565 (1978).
38. A. Sommerfeld, Proc. London Math. Soc. 28, 417 (1897);
39. H. S. Carslaw, Proc. London Math. Soc. 20, 121 (1898);
40. H. S. Carslaw, Proc. London Math. Soc. 8, 365 (1910);
41. H. S. Carslaw, Proc. London Math. Soc. 18, 291 (1919).
42. J. S. Dowker, J. Phys. A10, 115 (1977).JPHAC5
43. H. P. McKean and I. M. Singer, J. Diff. Geom. 1, 43 (1967);
44. J. Cheeger, 18, 575(1983); H. Donnelly, Math. Ann. 224, 161 (1976);
45. P. Chang and J. S. Dowker, Nucl. Phys.B395, 407 (1993);
46. D. V. Fursaev, Class. Quantum Grav.11, 1431 (1994);
47. G. Cognola, K. Kirsten, and L. Vanzo, Phys. Rev. D49, 1029 (1994);
48. D. V. Fursaev and G. Miele, 49, 987 (1994).
49. D. V. Fursaev, Phys. Lett. B334, 53 (1994).
50. J. S. Dowker, Phys. Rev. D50, 6369 (1994).
51. N. D. Birrell and P. C. W. Devies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982).