%0 Journal Article
%T ¦ÄN Formalism in Anisotropic Inflation and Large Anisotropic Bispectrum and Trispectrum
%A Ali Akbar Abolhasani
%A Razieh Emami
%A Javad T. Firouzjaee
%A Hassan Firouzjahi
%J Physics
%D 2013
%I arXiv
%R 10.1088/1475-7516/2013/08/016
%X We present a consistent \delta N formalism for curvature perturbations in anisotropic cosmological backgrounds. We employ our \delta 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.
%U http://arxiv.org/abs/1302.6986v2