Effective field theory of statistical anisotropies for primordial bispectrum and gravitational waves

Abstract

We present the effective field theory studies of primordial statistical anisotropies in models of anisotropic inflation. The general action in unitary gauge is presented to calculate the leading interactions between the gauge field fluctuations, the curvature perturbations and the tensor perturbations. The anisotropies in scalar power spectrum and bispectrum are calculated and the dependence of these anisotropies to EFT couplings are presented. In addition, we calculate the statistical anisotropy in tensor power spectrum and the scalar-tensor cross correlation. Our EFT approach incorporates anisotropies generated in models with non-trivial speed for the gauge field fluctuations and sound speed for scalar perturbations such as in DBI inflation.

31 pages, 4 figures

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Cited by in corpus (12)

• Cross-correlations as a Diagnostic Tool for Primordial Gravitational Waves
• The Effective Field Theory of Vector-Tensor Theories
• Effective description of generalized disformal theories
• Stochastic Effects in Anisotropic Inflation
• Anisotropic Inflation with Derivative Couplings
• Inflation with multiple vector fields and non-Gaussianities
• Charged Vector Inflation
• Anisotropic power-law inflation for a conformal-violating Maxwell model
• Effective Field Theory of Gravitating Continuum: Solids, Fluids, and Aether Unified
• Primordial anisotropies from cosmic strings during inflation
• Effective Field Theory of Anisotropic Inflation and Beyond
• Effective Field Theory of Chiral Gravitational Waves