Non-Gaussianity in multifield inflation

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 10, 2002, Pages

  Uzan, Jean Philippe ^b  

^a CEA SACLAY   (France)

^b UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; COSMOS; MATHEMATICAL ANALYSIS; PARAMETER; PROBABILITY; WEIGHT;

EID: 0037113818     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.103506     Document Type: Article

References (71)

1. V. Mukhanov and G.V. Chibisov, JETP Lett. 33, 532 (1981);
2. S.W. Hawking, Phys. Lett. 115B, 295 (1982);
3. V.F. Mukhanov, H.A. Feldman, and R.H. Brandenberger, Phys. Rep. 215, 203 (1992);A. D. Linde, Particle Physics and Inflationary Cosmology (Harwood, Chur, Switzerland, 1990);A.R. Liddle and D.H. Lyth, Cosmological Inflation and Large-Scale Structure (Cambridge University Press, Cambridge, UK, 2000).
4. J. Martin, A. Riazuelo, and M. Sakellariadou, Phys. Rev. D 61, 083518 (2000);
5. A. Gangui, J. Martin, and M. Sakellariadou, astro-ph/0205202.
6. J. Lesgourgues, D. Polarski, and A.A. Starobinsky, Mon. Not. R. Astron. Soc. 297, 769 (1998);
7. J. Lesgourgues, Nucl. Phys. B582, 593 (2000);
8. A.A. Starobinsky, Gravitation Cosmol. 4, 88 (1998).
9. A.D. Linde, Phys. Lett. 158B, 375 (1985);
10. L.A. Kofman, Phys. Lett. B 173, 400 (1986).
11. D. Polarski and A.A. Starobinsky, Phys. Rev. D 50, 6123 (1994).
12. J. García-Bellido and D. Wands, Phys. Rev. D 53, 5437 (1996).
13. V.F. Mukhanov and P.J. Steinhardt, Phys. Lett. B 422, 52 (1998).
14. D. Langlois, Phys. Rev. D 59, 123512 (1999).
15. C. Gordon, D. Wands, B.A. Basset, and R. Maartens, Phys. Rev. D 63, 023506 (2001).
16. J.H. Hwang and H. Noh, Phys. Lett. B 495, 277 (2000).
17. M. Bucher, K. Moodley, and N. Turok, Phys. Rev. D 66, 023528 (2002).
18. D. Langlois and A. Riazuelo, Phys. Rev. D 62, 043504 (2000).
19. M. Bucher, K. Moodley, and N. Turok, Phys. Rev. Lett. 87, 191301 (2001).
20. A. Linde and V.F. Mukhanov, Phys. Rev. D 56, 535 (1997);
21. I. Antoniadis, P.O. Mazur, and E. Motola, astro-ph/9705200.
22. D. La and P.J. Steinhardt, Phys. Rev. Lett. 62, 376 (1989).
23. K. Yamamoto et al., Phys. Rev. D 46, 4206 (1992).
24. D.S. Salopek and J.R. Bond, Phys. Rev. D 42, 3936 (1990).
25. D.S. Salopek, Phys. Rev. D 45, 1139 (1992).
26. T.J. Allen, B. Grinstein, and M.B. Wise, Phys. Lett. B 197, 66 (1987).
27. L. Kofman, G.R. Blumenthal, H. Hodges, and J.R. Primack, in Large Scale Structures and Peculiar Motions in the Universe, edited by D.W. Latham and L. da Costa (Astronomical Society of the Pacific, San Francisco, 1991), p. 339;
28. I. Antoniadis, P.O. Mazur, and E. Motola, Phys. Rev. Lett. 79, 14 (1997);
29. P.J.E. Peebles, Astrophys. J. Lett. 483, L1 (1997);
30. R. Scoccimarro, astro-ph/0002037.
31. E.J. Copeland, J.E. Lidsey, and D. Wands, Phys. Lett. B 443, 97 (1998);
32. R. Durrer and M. Sakellariadou, Phys. Rev. D 62, 123504 (2000).
33. M. Bucher and Y. Zhu, Phys. Rev. D 55, 7415 (1997).
34. A. Gangui and S. Mollerach, Phys. Rev. D 54, 4750 (1996);
35. R. Durrer, M. Kunz, and A. Melchiorri, Phys. Rep. 364, 1 (2002);
36. L. Perivolaropoulos, hep-ph/9212228.
37. N. Bartolo, S. Matarrese, and A. Riotto, Phys. Rev. D 64, 083514 (2001).
38. N. Bartolo, S. Matarrese, and A. Riotto, Phys. Rev. D 65, 103505 (2002).
39. H.B. Sanvik and J. Magueijo, astro-ph/0010395.
40. G. Rocha, J. Magueijo, M. Hobson, and A. Lasenby, Phys. Rev. D 64, 063512 (2001).
41. M.G. Santos et al., Phys. Rev. Lett. 88, 241302 (2002).
42. F. Bernardeau, S. Colombi, E. Gaztañaga, and R. Scoccimaro, Phys. Rep. 367, 1 (2002).
43. R. Durrer, R. Juszkiewicz, M. Kunz, and J.-P. Uzan, Phys. Rev. D 62, 021301(R) (2000).
44. F. Bernardeau, Y. Mellier, and L. van Waerbeke, astro-ph/0201029.
45. F. Bernardeau, Y. Mellier, and L. van Waerbeke, Astron. Astrophys. 389, 128 (2002).
46. L. Kofman and D. Pogosyan, Phys. Lett. B 214, 548 (1988).
47. S. Hawking and G.F.R. Ellis, Large Scales Structure of Spacetime (Cambridge University Press, Cambridge, England, 1973).
48. N.D. Birrell and P.C.W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982).
49. A. Vilenkin and L.H. Ford, Phys. Rev. D 26, 1231 (1982);
50. A.D. Linde, Phys. Lett. 116B, 335 (1982);
51. Phys. Lett.A.A. Starobinsky, 117B, 175 (1982);
52. L.A. Kofman and A.D. Linde, Nucl. Phys. B282, 555 (1987).
53. N.C. Tsamis and R.D. Woodard, Class. Quantum Grav. 11, 2969 (1994).
54. L.H. Ford and L. Parker, Phys. Rev. D 16, 245 (1977).
55. B. Allen and A. Folacci, Phys. Rev. D 35, 3771 (1987).
56. B.S. de Witt, in Relativity, Groups and Topology II, Proceedings of Les Houches Summer School 1983, edited by B.S. de Witt and R. Stora (North-Holland, Amsterdam, 1984).
57. L.H. Ford and C. Pathinayake, Phys. Rev. D 39, 3642 (1989).
58. A. Vilenkin and L.H. Ford, Phys. Rev. D 26, 1231 (1982).
59. K. Kirsten and J. Garriga, Phys. Rev. D 48, 567 (1993).
60. A.J. Tolley and N. Turok, hep-th/0108119.
61. D. Polarski, Phys. Rev. D 41, 442 (1990);
62. Phys. Rev. DD. Polarski41, 2519 (1990);
63. Phys. Rev. DD. Polarski43, 1892 (1991).
64. A.A. Starobinsky, and J. Yokoyama, Phys. Rev. D 50, 6357 (1994);
65. Phys. Rev. DP.J.E. Peebles and A. Vilenkin, 60, 103506 (1999).
66. R. Balian and R. Schaeffer, Astron. Astrophys. 220, 1 (1989).
67. D.H. Lyth and A. Riotto, Phys. Rep. 314, 1 (1999).
68. F. Bernardeau and J.-P. Uzan, astro-ph/0209330.
69. Models of multifield inflation 48 do not generically present such properties. The construction of a reasonably simple potential to realize this mechanism is left for future investigation (see however Ref. 49).
70. It amounts to neglecting the radiative corrections in the field evolution.
71. In Refs. 46, the effect of the quantum subhorizon fluctuations are described by a stochastic noise entering a Fokker-Planck equation for the coarse-grained (or long wavelength part) of (Formula presented)