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Paper   IPM / P / 13499
School of Physics
  Title:   delta N Formalism in Anisotropic Inflation and Large Anisotropic Bispectrum and Trispectrum
  Author(s): 
1.  A.A. Abolhasani
2.  R. Emami
3.  J. T. Firouzjaee
4.  H. Firouzjahi
  Status:   Published
  Journal: JCAP
  Vol.:  1308
  Year:  2013
  Pages:   016
  Supported by:  IPM
  Abstract:
We present the consistent N formalism for curvature perturbations in anisotropic cosmological backgrounds. We employ our N formalism to calculate the power spectrum, the bispectrum and the trispectrum in models of anisotropic inflation with the background gauge fields in Bianchi I universe. Our results coincide exactly with the recent results obtained from in-in formalism. To satisfy the observational constraints the anisotropies generated on power spectrum are kept small but large orientation-dependent non-Gaussianities can be generated. We study the Suyama-Yamaguchi inequality for the amplitudes of the bispectrum and the trispectrum in the presence of anisotropic shapes.

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