Modulated perturbations from instant preheating after new ekpyrosis

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 77, Issue 6, 2008, Pages

  Battefeld, Thorsten ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41449093535     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.77.063503     Document Type: Article

References (96)

1. J. Khoury, B.A. Ovrut, P.J. Steinhardt, and N. Turok, Phys. Rev. D 64, 123522 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.64.123522
2. J. Khoury, B.A. Ovrut, N. Seiberg, P.J. Steinhardt, and N. Turok, Phys. Rev. D 65, 086007 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.086007
3. P.J. Steinhardt and N. Turok, Phys. Rev. D 65, 126003 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.126003
4. A. Linde, arXiv:0705.0164.
5. See for an updated account on the proposed resolution of the horizon and flatness problem within ekpyrotic proposals, attempting to address objections raised in e.g..
6. R. Brandenberger and F. Finelli, J. High Energy Phys. JHEPFG 1029-8479 11 (2001) 056. 10.1088/1126-6708/2001/11/056
7. R. Durrer and F. Vernizzi, Phys. Rev. D 66, 083503 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.083503
8. P. Creminelli, A. Nicolis, and M. Zaldarriaga, Phys. Rev. D 71, 063505 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.063505
9. For instance, if the matching of perturbations is done on a constant energy hypersurface, a deep blue spectrum results.
10. T.J. Battefeld, S.P. Patil, and R. Brandenberger, Phys. Rev. D 70, 066006 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.066006
11. J.L. Lehners, P. McFadden, N. Turok, and P.J. Steinhardt, Phys. Rev. D 76, 103501 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.76.103501
12. E.I. Buchbinder, J. Khoury, and B.A. Ovrut, Phys. Rev. D 76, 123503 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.76.123503
13. P. Creminelli and L. Senatore, J. Cosmol. Astropart. Phys. 1475-7516 11 (2007) 010. 10.1088/1475-7516/2007/11/010
14. E.I. Buchbinder, J. Khoury, and B.A. Ovrut, J. High Energy Phys. JHEPFG 1029-8479 11 (2007) 076. 10.1088/1126-6708/2007/11/076
15. K. Koyama, S. Mizuno, and D. Wands, Classical Quantum Gravity 24, 3919 (2007). CQGRDG 0264-9381 10.1088/0264-9381/24/15/010
16. K. Koyama and D. Wands, J. Cosmol. Astropart. Phys. 1475-7516 04 (2007) 008. 10.1088/1475-7516/2007/04/008
17. K. Koyama, S. Mizuno, F. Vernizzi, and D. Wands, J. Cosmol. Astropart. Phys. 1475-7516 11 (2007) 024. 10.1088/1475-7516/2007/11/024
18. J.L. Lehners, P. McFadden, and N. Turok, Phys. Rev. D 75, 103510 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.103510
19. J.L. Lehners, P. McFadden, and N. Turok, Phys. Rev. D 76, 023501 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.76.023501
20. J.L. Lehners and N. Turok, Phys. Rev. D 77, 023516 (2008). PRVDAQ 0556-2821 10.1103/PhysRevD.77.023516
21. J.L. Lehners and P.J. Steinhardt (unpublished).
22. D.H. Lyth and D. Wands, Phys. Lett. B 524, 5 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(01)01366-1
23. A. Notari and A. Riotto, Nucl. Phys. NUPBBO 0550-3213 B644, 371 (2002). 10.1016/S0550-3213(02)00765-4
24. Note that the bounce mentioned in is this sudden change of the trajectory in field space and not the bounce of the four dimensional scale factor which is needed to solve the horizon problem. The latter bounce is still assumed to be singular in.
25. F. Finelli, P. Peter, and N. Pinto-Neto, arXiv:0709.3074.
26. V. Bozza and G. Veneziano, J. Cosmol. Astropart. Phys. 1475-7516 09 (2005) 007. 10.1088/1475-7516/2005/09/007
27. V. Bozza and G. Veneziano, Phys. Lett. B 625, 177 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.08.052
28. T.J. Battefeld and G. Geshnizjani, Phys. Rev. D 73, 048501 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.048501
29. T.J. Battefeld and G. Geshnizjani, Phys. Rev. D 73, 064013 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.064013
30. L. Kofman, arXiv:astro-ph/0303614.
31. G. Dvali, A. Gruzinov, and M. Zaldarriaga, Phys. Rev. D 69, 023505 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.023505
32. F. Bernardeau, L. Kofman, and J.P. Uzan, Phys. Rev. D 70, 083004 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.083004
33. K. Enqvist, A. Mazumdar, and M. Postma, Phys. Rev. D 67, 121303(R) (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.121303
34. S. Tsujikawa, Phys. Rev. D 68, 083510 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.083510
35. S. Matarrese and A. Riotto, J. Cosmol. Astropart. Phys. 1475-7516 08 (2003) 007. 10.1088/1475-7516/2003/08/007
36. A. Mazumdar and M. Postma, Phys. Lett. B 573, 5 (2003); PYLBAJ 0370-2693 10.1016/j.physletb.2003.08.053
37. A. Mazumdar M. Postma Phys. Lett. B 585, 307(E) (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2004.01.076
38. M. Postma, J. Cosmol. Astropart. Phys. 1475-7516 03 (2004) 006. 10.1088/1475-7516/2004/03/006
39. R. Allahverdi, Phys. Rev. D 70, 043507 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.043507
40. L. Ackerman, C.W. Bauer, M.L. Graesser, and M.B. Wise, Phys. Lett. B 611, 53 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.01.096
41. F. Vernizzi, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 148, 120 (2005). 10.1016/j.nuclphysbps.2005.04.057
42. D.H. Lyth, J. Cosmol. Astropart. Phys. 1475-7516 11 (2005) 006. 10.1088/1475-7516/2005/11/006
43. G.N. Felder, L. Kofman, and A.D. Linde, Phys. Rev. D 60, 103505 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.60.103505
44. M. Sasaki, J. Valiviita, and D. Wands, Phys. Rev. D 74, 103003 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.103003
45. If the conversion is due to a reflection of fields on sharp boundaries, the resulting NG can be much smaller too.
46. A.J. Tolley and D.H. Wesley, J. Cosmol. Astropart. Phys. 1475-7516 05 (2007) 006. 10.1088/1475-7516/2007/05/006
47. J.H. Traschen and R.H. Brandenberger, Phys. Rev. D 42, 2491 (1990). PRVDAQ 0556-2821 10.1103/PhysRevD.42.2491
48. Y. Shtanov, J.H. Traschen, and R.H. Brandenberger, Phys. Rev. D 51, 5438 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.51.5438
49. L. Kofman, A.D. Linde, and A.A. Starobinsky, Phys. Rev. Lett. 73, 3195 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.73.3195
50. L. Kofman, A.D. Linde, and A.A. Starobinsky, Phys. Rev. D 56, 3258 (1997). PRVDAQ 0556-2821 10.1103/PhysRevD.56.3258
51. B.A. Bassett, S. Tsujikawa, and D. Wands, Rev. Mod. Phys. 78, 537 (2006). RMPHAT 0034-6861 10.1103/RevModPhys.78.537
52. L. Kofman, A. Linde, X. Liu, A. Maloney, L. McAllister, and E. Silverstein, J. High Energy Phys. JHEPFG 1029-8479 05 (2004) 030. 10.1088/1126-6708/2004/05/030
53. S. Watson, Phys. Rev. D 70, 066005 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.066005
54. S.P. Patil and R. Brandenberger, Phys. Rev. D 71, 103522 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.103522
55. T.J. Battefeld, S.P. Patil, and R.H. Brandenberger, Phys. Rev. D 73, 086002 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.086002
56. T. Battefeld and S. Watson, Rev. Mod. Phys. 78, 435 (2006). RMPHAT 0034-6861 10.1103/RevModPhys.78.435
57. T. Battefeld and N. Shuhmaher, Phys. Rev. D 74, 123501 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.123501
58. S. Cremonini and S. Watson, Phys. Rev. D 73, 086007 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.086007
59. B. Greene, S. Judes, J. Levin, S. Watson, and A. Weltman, J. High Energy Phys. JHEPFG 1029-8479 07 (2007) 060. 10.1088/1126-6708/2007/07/060
60. J.K. Erickson, S. Gratton, P.J. Steinhardt, and N. Turok, Phys. Rev. D 75, 123507 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.123507
61. A.A. Starobinsky, Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 42, 124 (1985)
62. [A.A. Starobinsky JETP Lett. 42, 152 (1985)]. JTPLA2 0021-3640
63. M. Sasaki and E.D. Stewart, Prog. Theor. Phys. 95, 71 (1996). PTPKAV 0033-068X 10.1143/PTP.95.71
64. T.T. Nakamura and E.D. Stewart, Phys. Lett. B 381, 413 (1996). PYLBAJ 0370-2693 10.1016/0370-2693(96)00594-1
65. D.H. Lyth, K.A. Malik, and M. Sasaki, J. Cosmol. Astropart. Phys. 1475-7516 05 (2005) 004. 10.1088/1475-7516/2005/05/004
66. D.H. Lyth and Y. Rodriguez, Phys. Rev. Lett. 95, 121302 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.121302
67. D. Seery and J.E. Lidsey, J. Cosmol. Astropart. Phys. 1475-7516 09 (2005) 011. 10.1088/1475-7516/2005/09/011
68. F. Vernizzi and D. Wands, J. Cosmol. Astropart. Phys. 1475-7516 05 (2006) 019. 10.1088/1475-7516/2006/05/019
69. C.T. Byrnes, M. Sasaki, and D. Wands, Phys. Rev. D 74, 123519 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.123519
70. C.T. Byrnes, K. Koyama, M. Sasaki, and D. Wands, J. Cosmol. Astropart. Phys. 1475-7516 11 (2007) 027. 10.1088/1475-7516/2007/11/027
71. T. Battefeld and R. Easther, J. Cosmol. Astropart. Phys. 1475-7516 03 (2007) 020. 10.1088/1475-7516/2007/03/020
72. D. Battefeld and T. Battefeld, J. Cosmol. Astropart. Phys. 1475-7516 05 (2007) 012. 10.1088/1475-7516/2007/05/012
73. D.H. Lyth and D. Wands, Phys. Rev. D 68, 103515 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.103515
74. G.I. Rigopoulos and E.P.S. Shellard, Phys. Rev. D 68, 123518 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.123518
75. Note that the separate universe formalism developed by Rigopoulos and Shellard in e.g. is equivalent to the δN-formalism.
76. W. Israel, Nuovo Cimento B NCIBAW 0369-3554 44S10, 1 (1966); 10.1007/BF02710419
77. W. Israel Nuovo Cimento B NCIBAW 0369-3554 48, 463(E) (1967). 10.1007/BF02712210
78. N. Deruelle and V.F. Mukhanov, Phys. Rev. D 52, 5549 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.5549
79. S. Watson (unpublished).
80. During completion of this work, appeared providing an application of the δN-formalism to modulated perturbations in ordinary preheating after inflation-see note added.
81. See also for a related model, where the decay rate depends on the phase of a complex scalar inflaton field.
82. D.N. Spergel (WMAP Collaboration), Astrophys. J. Suppl. Ser. 170, 377 (2007). APJSA2 0067-0049 10.1086/513700
83. P. Creminelli, A. Nicolis, L. Senatore, M. Tegmark, and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 1475-7516 05 (2006) 004. 10.1088/1475-7516/2006/05/ 004
84. P. Creminelli, L. Senatore, M. Zaldarriaga, and M. Tegmark, J. Cosmol. Astropart. Phys. 1475-7516 03 (2007) 005. 10.1088/1475-7516/2007/03/005
85. C. Hikage, E. Komatsu, and T. Matsubara, Astrophys. J. 653, 11 (2006). ASJOAB 0004-637X 10.1086/508653
86. E. Komatsu and D.N. Spergel, Phys. Rev. D 63, 063002 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.63.063002
87. Planck Collaboration, arXiv:astro-ph/0604069;
88. http://www.rssd.esa.int/index.php?project=Planck.
89. M. Zaldarriaga, Phys. Rev. D 69, 043508 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.043508
90. T. Suyama and M. Yamaguchi, Phys. Rev. D 77, 023505 (2008). PRVDAQ 0556-2821 10.1103/PhysRevD.77.023505
91. X. Chen, M.x. Huang, S. Kachru, and G. Shiu, J. Cosmol. Astropart. Phys. 1475-7516 01 (2007) 002. 10.1088/1475-7516/2007/01/002
92. This result was also confirmed numerically in.
93. T. Battefeld and S. Watson (unpublished).
94. C. Gordon, D. Wands, B.A. Bassett, and R. Maartens, Phys. Rev. D 63, 023506 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.63.023506
95. T. Suyama and S. Yokoyama, Classical Quantum Gravity CQGRDG 0264-9381 24, 1615 (2007). 10.1088/0264-9381/24/6/015
96. C.T. Byrnes and D. Wands, Phys. Rev. D 73, 063509 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.063509