Magnetogenesis by non-minimal coupling to gravity in Higgs inflation model

Abstract

We study the generation of magnetic fields in the Higgs inflation model with the kinetic coupling in order to break the conformal invariance of the Maxwell action and produce strong magnetic fields. We consider radiatively corrected Higgs inflation potential. We assume that parity persevering non-minimal coupling between curvature and electromagnetic field is present in the action. In comparison to the Starobinsky potential, we obtain an extra term as a one loop correction and determine the spectrum of generalized electromagnetic fields. In this case it is impossible to produce large magnetic fields. Even for various values of coupling parameter k1 it is obvious that the amplification of magnetic field is negligibly small. The reason is the nature of kinetic coupling and allowed values of inflationary anomalous scaling AI. However, the effect of quantum correction in this case does not produce new dynamic for magnetogenesis but one may expect with axial coupling new dynamic can be produced by effect of quantum correction.