Effective action for the Abelian Higgs model in FLRW

Abstract

We compute the divergent contributions to the one-loop action of the U(1) Abelian Higgs model. The calculation allows for a Friedmann-Lemaitre-Robertson-Walker space-time and a time-dependent expectation value for the scalar field. Treating the time-dependent masses as two-point interactions, we use the in-in formalism to compute the first, second and third order graphs that contribute quadratic and logarithmic divergences to the effective scalar action. Working in R-xi gauge we show that the result is gauge invariant upon using the equations of motion.

30 pages, 2 figures; minor changes in second version that matches published version

References in corpus (2)

• The Standard Model Higgs boson as the inflaton
• Radiative Lifting of Flat Directions of the MSSM in de Sitter Background

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