"Massive" spin-2 field in de Sitter space

Journal of Mathematical Physics

Volumn 44, Issue 9, 2003, Pages 3838-3862

  Garidi, T ^a   Gazeau, J P ^a   Takook, M V ^b,c  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b RAZI UNIVERSITY   (Iran)

^c ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242389777     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1599055     Document Type: Article

References (52)

1. J. P. Gazeau and M. V. Takook, J. Math. Phys. 41, 5920 (2000); T. Garidi, J. P. Gazeau, and M. V. Takook, ibid. 43, 6379 (2002).
2. J. P. Gazeau and M. V. Takook, J. Math. Phys. 41, 5920 (2000); T. Garidi, J. P. Gazeau, and M. V. Takook, ibid. 43, 6379 (2002).
3. P. Bartesaghi, J. P. Gazeau, U. Moschella, and M. V. Takook, Class. Quantum Grav. 18, 4373 (2001).
4. B. Allen and M. Turyn, Nucl. Phys. B 292, 813 (1987).
5. E. G. Floratos, J. Iliopoulos, and T. N. Tomaras, Phys. Lett. B 197, 373 (1987).
6. I. Antoniadis and E. Mottola, J. Math. Phys. 32, 1037 (1991).
7. I. Antoniadis, J. Iliopoulos, and T. N. Tomaras, Nucl. Phys. B 462, 437 (1996).
8. H. L. Ford, Phys. Rev. D 31, 710 (1985).
9. I. Antoniadis, I. Iliopoulos, and T. N. Tomaras, Phys. Rev. Lett. 56, 1319 (1986).
10. N. C. Tsamis and R. P. Woodard, Phys. Lett. B 292, 269 (1992); Commun. Math. Phys. 162, 217 (1994).
11. N. C. Tsamis and R. P. Woodard, Phys. Lett. B 292, 269 (1992); Commun. Math. Phys. 162, 217 (1994).
12. T. Garidi, J. P. Gazeau, J. Renaud, S. Rouhani, and M. V. Takook, "Linear covariant quantum gravity in de Sitter space," in preparation.
13. H. J. de Vega, J. Ramirez, and N. Sanchez, Phys. Rev. D 60, 044007 (1999).
14. J. P. Gazeau, J. Renaud, and M. V. Takook, Class. Quantum Grav. 17, 1415 (2000).
15. M. V. Takook, Mod. Phys. Lett. A 16, 1691 (2001).
16. M. V. Takook, Thèse de l'université Paris VI, 1997, Théorie quantique des champs pour des systèmes élémentaires "massifs" et de "masse nulle" sur l'espace-temps de de Sitter; Proceedings of the Sixth International Wigner Symposium, 16-22 August 1999, Istanbul, Turkey, Bogaziçi University Press, Vol. 1, gr-qc/0001052.
17. S. W. Hawking, T. Herrog, and N. Turok, Phys. Rev. D 62, 063502 (2000).
18. A. Higuchi and S. S. Kouris, Class. Quantum Grav. 17, 3077 (2000).
19. A. Higuchi and S. S. Kouris, "On the scalar sector of the covariant graviton two-point function in de Sitter spacetime," gr-qc/0011062.
20. J. Bros, J. P. Gazeau, and U. Moschella, Phys. Rev. Lett. 73, 1746 (1994).
21. A. Higuchi, J. Math. Phys. 28, 1553 (1987).
22. C. Gabriel and P. Spindel, J. Math. Phys. 38, 622 (1997).
23. A. Higuchi, Nucl. Phys. B 282, 397 (1987).
24. S. Deser and R. I. Nepomechie, Phys. Lett. 132B, 321 (1983).
25. S. Deser and R. I. Nepomechie, Ann. Phys. 154, 396 (1984).
26. S. Deser and A. Waldron, Phys. Lett. B 508, 347 (2001).
27. S. Deser and A. Waldron, Phys. Lett. B 513, 137 (2001).
28. S. Deser and A. Waldron, Phys. Rev. Lett. 87, 031601 (2001).
29. S. Deser and A. Waldron, Nucl. Phys. B 607, 577 (2001).
30. I. I. Kogan, S. Mouslopoulos, and A. Papazoglou, Phys. Lett. B 503, 173 (2001).
31. I. L. Buchbinder et al., Nucl. Phys. B 584, 615 (2000).
32. M. Novello and R. P. Neves, Class. Quantum Grav. 19, 5335 (2002).
33. A. Lichnerowicz, Publ. de l'IHES 10, 293 (1961).
34. J. Dixmier, Bull. Soc. Math. France 89, 9 (1961).
35. B. Takahashi, Bull. Soc. Math. France 91, 289 (1963).
36. B. Allen and T. Jacobson, Commun. Math. Phys. 103, 669 (1986).
37. C. Fronsdal, Phys. Rev. D 20, 848 (1979).
38. P. A. M. Dirac, Ann. Math. 36, 657 (1935).
39. J. P. Gazeau and M. Hans, J. Math. Phys. 29, 2533 (1988).
40. L. Lipsman, Group Representations, Lecture Notes in Mathematics, Vol. 388 (Springer Verlag, New York, 1974).
41. A. O. Barut and A. Böhm, J. Math. Phys. 11, 2938 (1970).
42. M. Levy-Nahas, J. Math. Phys. 8, 1211 (1967).
43. H. Bacry and J. M. Levy-Leblond, J. Math. Phys. 9, 1605 (1968).
44. J. Mickelsson and J. Niederle, Commun. Math. Phys. 27, 167 (1972).
45. T. Garidi, E. Huguet, and J. Renaud, Phys. Rev. D 67, 124028 (2003).
46. B. Angelopoulos and M. Laoues, Rev. Math. Phys. 10, 271 (1998).
47. J. P. Gazeau, Lett. Math. Phys. 8, 507 (1984).
48. J. Bros and U. Moschella, Rev. Math. Phys. 8, 327 (1996).
49. I. M. Gel'fand and E. G. Shilov, Generalized Functions, Vol. I (Academic, New York, 1964).
50. M. Fierz and W. Pauli, Proc. R. Soc. London, Ser. A 173, 211 (1939).
51. R. F. Streater and A. S. Wightman, PCT, Spin and Statistics, and All That (Benjamin, New York, 1964).
52. J. Bros and G. A. Viano, "Connexion between the harmonic analysis on the sphere and the harmonic analysis on the one sheeted hyperboloid: an analytic continuation viewpoint," funct-an/9305002.