Effective action for the Abelian Higgs model in FLRW
High Energy Physics - Theory
2015-06-05 v2 Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1207.6963,
title = {Effective action for the Abelian Higgs model in FLRW},
author = {Damien P. George and Sander Mooij and Marieke Postma},
journal= {arXiv preprint arXiv:1207.6963},
year = {2015}
}
Comments
30 pages, 2 figures; minor changes in second version that matches published version