Scalar quantum electrodynamics in de Sitter space from the non-perturbative renormalization group

Abstract

We apply the non-perturbative renormalization group techniques to integrate out strongly fluctuating infrared modes for a scalar field in de Sitter universe. Using an spontaneously broken potential that is already know, using the two non-perturbative techniques, the stochastic formalism and the renormalization group approach, to spontaneously recover the symmetry due to the strongly fluctuating IR modes. And adding photons interaction to the effective potential we show that the symmetry restoration gets enhanced by the photons. Finally we compare the know results obtained using both methods for the scalar mass and the photon mass, that is know to acquire a non-vanishing mass during inflation, allowing us to compare both methods.