Discrete symmetries of functional determinants

Nuclear Physics B

Volumn 594, Issue 1-2, 2001, Pages 501-517

  Vassilevich, D V ^a   Zelnikov, A ^b  

^a UNIVERSITY OF LEIPZIG   (Germany)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

04.62.+v (Quantum field theory in curved spacetime); 11.15.Tk (Other nonperturbative techniques); 11.30.Ly (Other internal and higher symmetries); Dilaton; Duality; Effective action; Index theorem

Indexed keywords

EID: 0001323733     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(00)00650-7     Document Type: Article

References (52)

1. Polyakov A.M. Phys. Lett. B. 103:1981;207.
2. Witten E. Commun. Math. Phys. 92:1984;455.
3. Novikov S.P. Sov. Math. Dokl. 37:1982;3.
4. Kummer W., Vassilevich D.V. Phys. Rev. D. 60:1999;084021 hep-th/9811092.
5. Alvarez O. Nucl. Phys. B. 238:1984;61.
6. Gilkey P.B. Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem. 1995;CRC Press, Boca Raton.
7. Eguchi T., Gilkey P.B., Hanson A.J. Phys. Rep. 66:1980;213.
8. Kummer W., Vassilevich D.V. Ann. Phys. 8:1999;801 gr-qc/9907041.
9. Kummer W., Liebl H., Vassilevich D.V. Mod. Phys. Lett. A. 12:1997;2683 hep-th/9707041.
10. Mukhanov V., Wipf A., Zelnikov A. Phys. Lett. B. 332:1994;283 hep-th/9403018.
11. Alvarez O. Nucl. Phys. B. 216:1983;125.
12. Dowker J.S., Schofield J.P. J. Math. Phys. 31:1990;808.
13. Drukker N., Gross D.J., Tseytlin A.A. JHEP. 04:2000;021.
14. Frolov V., Sutton P., Zelnikov A. Phys. Rev. D. 61:2000;024021 hep-th/9909086.
15. Sutton P. Phys. Rev. D. 62:2000;044033 hep-th/0003290.
16. Cognola G., Zerbini S. On the dimensional reduction procedure. hep-th/0008061.
17. Nojiri S., Odintsov S.D. Phys. Lett. B. 463:1999;57 hep-th/9904146.
18. Gusev Yu.V., Zelnikov A.I. Phys. Rev. D. 61:2000;084010 hep-th/9910198.
19. Giveon A., Porrati M., Rabinovici E. Phys. Rep. 244:1994;77 hep-th/9401139.
20. Alvarez E., Alvarez-Gaume L., Lozano Y. Nucl. Phys. Proc. Suppl. 41:1995;1 hep-th/9410237.
21. Schwarz A.S., Tseytlin A.A. Nucl. Phys. B. 399:1993;691 hep-th/9210015.
22. Horava P. Phys. Lett. B. 231:1989;251.
23. Dai J., Leigh R.G., Polchinski J. Mod. Phys. Lett. A. 4:1989;2073.
24. Green M.B. Phys. Lett. B. 266:1991;325.
25. Bianchi M., Pradisi G., Sagnotti A. Nucl. Phys. B. 376:1992;365.
26. Dorn H., Otto H.J. Phys. Lett. B. 381:1996;81 hep-th/9603186.
27. Forste S., Kehagias A.A., Schwager S. Nucl. Phys. B. 478:1996;141 hep-th/9604013.
28. Dowker J.S., Critchley R. Phys. Rev. D. 13:1976;3224.
29. Hawking S.W. Commun. Math. Phys. 55:1977;133.
30. Andrianov A.A., Borisov N.V., Ioffe M.V. Teor. Mat. Fiz. 61:1984;183.
31. Romanov V.N., Schwarz A.S. Teor. Mat. Fiz. 41:1979;190.
32. Branson T.P., Gilkey P.B., Vassilevich D.V. J. Math. Phys. 39:1998;1040 hep-th/9702178.
33. Schwarz A.S. Commun. Math. Phys. 67:1979;1.
34. Schwabl F. Quantenmechanik. 1988;Springer, Berlin.
35. Witten E. Nucl. Phys. B. 202:1982;253.
36. Vassilevich D.V. J. Math. Phys. 36:1995;3174 gr-qc/9404052.
37. Moss I.G. Class. Quantum Grav. 6:1989;759.
38. Branson T.P., Gilkey P.B. Commun. PDE. 15:1990;245.
39. Branson T.P., Gilkey P.B., Kirsten K., Vassilevich D.V. Nucl. Phys. B. 563:1999;603 hep-th/9906144.
40. Bordag M., Geyer B., Kirsten K., Elizalde E. Commun. Math. Phys. 179:1996;215 hep-th/9505157.
41. Dowker J.S. Class. Quantum Grav. 13:1996;585 hep-th/9506042.
42. Dowker J.S. Class. Quantum Grav. 11:1994;L7 hep-th/9309127.
43. Cremmer E., Scherk J., Ferrara S. Phys. Lett. B. 74:1978;61.
44. Gibbons G.W. Nucl. Phys. B. 207:1982;337.
45. Maeda K. Class. Quantum Grav. 3:1986;651.
46. Frolov V., Zelnikov A., Bleyer U. Ann. Phys. 44:1987;371.
47. Gibbons G.W., Maeda K. Nucl. Phys. B. 298:1988;741.
48. Garfinkle D., Horowitz G.T., Strominger A. Phys. Rev. D. 43:1991;3140.
49. Horowitz G.T., Strominger A. Nucl. Phys. B. 360:1991;197.
50. Nojiri S., Odintsov S.D. Phys. Lett. B. 426:1998;29 hep-th/9801052.
51. Bytsenko A.A., Nojiri S., Odintsov S.D. Phys. Lett. B. 443:1998;121 hep-th/9808109.
52. Ichinose S., Odintsov S.D. Nucl. Phys. B. 539:1999;643 hep-th/9802043.