A new large field inflation constrained by Planck 2015

  • M. Ferricha-Alami
  • Z. Mounzi
  • H. Chakir
  • M. Bennai
Regular Article
  • 28 Downloads

Abstract.

In this work we propose a new large field inflation model, parametrized by a parameter \( \beta\) sharing the same features with T-Model. We apply the slow-roll approximation to investigate the inflationary parameters, and we found that they depend on some value of \( \beta\) and the e-folds number Ne. In this context, we have computed and discussed the perturbation of the scalar curvature and determined the energy scale \( V_{0}\), which we found to be in the GUT regime. We also showed that, in our scenario, the various inflationary spectrum perturbation parameters, the spectral index \( n_{s}\), the ratio of tensor to scalar perturbations r and the running \( \frac{d ns}{d \ln k}\), perfectly agree with the recent experimental observations in the event \( \beta > 0.5\) and \( Ne\sim 45-60\). As a result we have reproduced successfully the main part, \( n_{s}-r\), consistent with Planck data.

Keywords

Spectral Index Cosmic Microwave Background Attractor Model Curvature Perturbation Planck Data 

References

  1. 1.
    Planck Collaboration (R. Adam), Planck 2015 results. XIII. Cosmological parameters, arXiv:1502.01589v2
  2. 2.
    A. Linde, Inflationary Cosmology after Planck 2013, arXiv:1402.0526 (2014)
  3. 3.
    A.R. Liddle, D.H. Lyth, Cosmological Inflation and Large-Scale Structure (Cambridge University Press, 2000)Google Scholar
  4. 4.
    P. Brax, C. Bruck, A. Davis, Rep. Prog. Phys. 67, 2183 (2004)ADSCrossRefGoogle Scholar
  5. 5.
    J. Martin, C. Ringeval, V. Vennin, Encyclopaedia inflationaris, arXiv:1303.3787 (2013)
  6. 6.
    R. Allahverdi, Mod. Phys. Lett. A 23, 2799 (2008)ADSCrossRefGoogle Scholar
  7. 7.
    R. Allahverdi, B. Dutta, Y. Santoso, Phys. Rev. D 82, 035012 (2010)ADSCrossRefGoogle Scholar
  8. 8.
    S. Iso, K. Kohrin, K. Shimada, Phys. Rev. D 91, 044006 (2015)ADSCrossRefGoogle Scholar
  9. 9.
    C.P. Burgess, M. Cicoli, F. Quevedo, M. Williams, JCAP 11, 045 (2014)ADSMathSciNetCrossRefGoogle Scholar
  10. 10.
    I. Dalianis, F. Farakos, Phys. Rev. D 90, 083512 (2014)ADSCrossRefGoogle Scholar
  11. 11.
    Chao-Jun Feng, Xin-Zhou Li, Mod. Phys. Lett. A 29, 1450197 (2014)CrossRefGoogle Scholar
  12. 12.
    S. Basilakos, J.D. Barrow, Phys. Rev. D 91, 103517 (2015)ADSMathSciNetCrossRefGoogle Scholar
  13. 13.
    R.G. Felipe, N.M.C. Santos, Phys. Rev. D 78, 023519 (2008)ADSMathSciNetCrossRefGoogle Scholar
  14. 14.
    A.A. Starobinsky, Phys. Lett. B 91, 99 (1980)ADSCrossRefGoogle Scholar
  15. 15.
    A.A. Starobinsky, Sov. Astron. Lett. 9, 302 (1983)ADSGoogle Scholar
  16. 16.
    A.S. Goncharov, A.D. Linde, Sov. Phys. JETP 59, 930 (1984)Google Scholar
  17. 17.
    A.B. Goncharov, A.D. Linde, Phys. Lett. B 139, 27 (1984)ADSCrossRefGoogle Scholar
  18. 18.
    A. Linde, JCAP 02, 030 (2015)ADSMathSciNetCrossRefGoogle Scholar
  19. 19.
    D.S. Salopek, J.R. Bond, J.M. Bardeen, Phys. Rev. D 40, 1753 (1989)ADSCrossRefGoogle Scholar
  20. 20.
    F.L. Bezrukov, M. Shaposhnikov, Phys. Lett. B 659, 703 (2008)ADSCrossRefGoogle Scholar
  21. 21.
    R. Kallosh, A. Linde, JCAP 07, 002 (2013)ADSCrossRefGoogle Scholar
  22. 22.
    R. Kallosh, A. Linde, Phys. Rev. D 91, 083528 (2015)ADSCrossRefGoogle Scholar
  23. 23.
    A.R. Liddle, D.H. Lyth, Phys. Lett. B 291, 391 (1992)ADSCrossRefGoogle Scholar
  24. 24.
    A.R. Liddle, D.H. Lyth, Phys. Rep. 231, 1 (1993)ADSCrossRefGoogle Scholar
  25. 25.
    E.D. Stewart, D.H. Lyth, Phys. Lett. B 302, 171 (1993)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • M. Ferricha-Alami
    • 1
    • 2
    • 3
  • Z. Mounzi
    • 1
    • 2
  • H. Chakir
    • 2
    • 3
  • M. Bennai
    • 1
    • 3
  1. 1.Laboratoire de Physique de la Matière Condensée (URAC10), Equipe Physique Quantique et Applications, Faculté des Sciences Ben M’sikUniversité Hassan IICasablancaMorocco
  2. 2.Equipe de Recherche Subatomique et Applications, Faculté des Sciences Ben M’sikUniversité Hassan IICasablancaMorocco
  3. 3.Centre of Physics and MathematicsCPMRabatMorocco

Personalised recommendations