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Prog. Theor. Phys. Vol. 95 No. 1 (1996) pp. 71-78

[ Full Text PDF : FREE ACCESS (302K) ]

A General Analytic Formula for the Spectral Index of the Density Perturbations Produced during Inflation

Misao Sasaki and Ewan D. Stewart*

Department of Earth and Space Science, Osaka University, Toyonaka 560
*School of Physics and Chemistry, Lancaster University, Lancaster, LA1 4YB

(Received August 24, 1995)

Abstract:

The standard calculation of the spectrum of density perturbations produced during inflation assumes that there is only one real dynamical degree of freedom during inflation. However, there is no reason to believe that this is actually the case. In this paper we derive general analytic formulae for the spectrum and spectral index of the density perturbations produced during inflation.


URL : http://ptp.ipap.jp/link?PTP/95/71/
DOI : 10.1143/PTP.95.71

[ Full Text PDF : FREE ACCESS (302K) ] Citation:

References:

  1. A. D. Linde, Particle Physics and Inflationary Cosmology (Harwood Academic, Switzerland, 1990).
    E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, New York, 1990).
  2. M. Dine, W. Fischler and D. Nemeschansky, Phys. Lett. 136B (1984), 169.
    G. D. Coughlan, R. Holman, P. Ramond and G. G. Ross, Phys. Lett. 140B (1984), 44.
    O. Bertolami and G. G. Ross, Phys. Lett. B183 (1987), 163.
  3. E. J. Copeland, A. R. Liddle, D. H. Lyth, E. D. Stewart and D. Wands, Phys. Rev. D49 (1994), 6410[APS].
  4. M. Dine, L. Randall and S. Thomas, Phys. Rev. Lett. 75 (1995), 398[APS].
  5. E. D. Stewart, Phys. Rev. D51 (1995), 6847[APS].
  6. M. K. Gaillard, H. Murayama and K. A. Olive, Phys. Lett. B355 (1995), 71.
  7. S. W. Hawking, Phys. Lett. 115B (1982), 295.
    A. A. Starobinsky, Phys. Lett. 117B (1982), 175.
    A. H. Guth and S.-Y. Pi, Phys. Rev. Lett. 49 (1982), 1110[APS].
    J. M. Bardeen, P. J. Steinhardt and M. S. Turner, Phys. Rev. D28 (1983), 679[APS].
    D. H. Lyth, Phys. Rev. D31 (1985), 1792[APS].
    V. F. Mukhanov, JETP Lett. 41 (1985), 493.
    M. Sasaki, Prog. Theor. Phys. 76 (1986), 1036[PTP].
  8. A. R. Liddle and D. H. Lyth, Phys. Lett. B291 (1992), 391.
  9. V. F. Mukhanov, H. A. Feldman and R. H. Brandenberger, Phys. Rep. 215 (1992), 203[CrossRef].
  10. E. D. Stewart and D. H. Lyth, Phys. Lett. B302 (1993), 171.
  11. A. R. Liddle and D. H. Lyth, Phys. Rep. 231 (1993), 1[CrossRef].
  12. E. D. Stewart, Phys. Lett. B345 (1995), 414.
  13. A. A. Starobinsky, JETP Lett. 42 (1985), 152.
  14. L. A. Kofman and D. Yu. Pogosyan, Phys. Lett. B214 (1988), 508.
    D. S. Salopek, J. R. Bond and J. M. Bardeen, Phys. Rev. D40 (1989), 1753[APS].
  15. A. A. Starobinsky and J. Yokoyama, gr-qc/9502002[e-print arXiv].
  16. D. Polarski and A. A. Starobinsky, Phys. Lett. B356 (1995), 196.
  17. J. García-Bellido and D. Wands, gr-qc/9506050[e-print arXiv].
  18. D. S. Salopek, astro-ph/9506146[e-print arXiv].
  19. J. M. Bardeen, Phys. Rev. D22 (1980), 1882[APS].
  20. H. Kodama and M. Sasaki, Prog. Theor. Phys. Suppl. No. 78 (1984), 1[PTP].
  21. A. A. Starobinsky, JETP Lett. 30 (1979), 683.
  22. A. A. Starobinsky, Sov. Astron. Lett. 9 (1983), 302; Sov. Astron. Lett. 11 (1985), 133; private communication.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 120 No. 1 (2008) pp. 159-174 :
    Multi-Brid Inflation and Non-Gaussianity
    Misao Sasaki
  2. Progress of Theoretical Physics Vol. 121 No. 1 (2009) pp. 193-210 :
    Large Non-Gaussianity from Multi-Brid Inflation
    Atsushi Naruko and Misao Sasaki
  3. Progress of Theoretical Physics Vol. 126 No. 5 (2011) pp. 923-935 :
    Violation of the Rotational Invariance in the CMB Bispectrum
    Maresuke Shiraishi and Shuichiro Yokoyama
  4. Progress of Theoretical Physics Supplement No.190 (2011) pp. 62-74 :
    The Self-Interacting Curvaton
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  5. Progress of Theoretical Physics Supplement No.190 (2011) pp. 90-106 :
    Primordial Non-Gaussianities
    David Langlois
  6. Progress of Theoretical Physics Supplement No.190 (2011) pp. 135-142 :
    Use of δN Formalism
    Takahiro Tanaka, Teruaki Suyama and Shuichiro Yokoyama

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