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Primordial Statistical Anisotropies: The Effective Field Theory Approach · Around

2015

Primordial Statistical Anisotropies: The Effective Field Theory Approach

Abolhasani, Ali Akbar, Akhshik, Mohammad, Emami, Razieh et al.

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In this work we present the effective field theory of primordial statistical anisotropies generated during anisotropic inflation involving a background $U(1)$ gauge field.

Besides the usual Goldstone boson associated with the breaking of time diffeomorphism we have two additional Goldstone bosons associated with the breaking of spatial diffeomorphisms.
We further identify these two new Goldstone bosons with the expected two transverse degrees of the $U(1)$ gauge field fluctuations.
Upon defining the appropriate unitary gauge, we present the most general quadratic action which respects the remnant symmetry in the unitary gauge.

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