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Title: 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{sub ξ} gauge we show that the result is gauge invariant upon using the equations of motion.

Authors:
; ;  [1]
  1. Nikhef, Science Park 105, 1098 XG Amsterdam (Netherlands)
Publication Date:
OSTI Identifier:
22279828
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2012; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACTION INTEGRAL; COSMOLOGICAL MODELS; COSMOLOGY; EQUATIONS OF MOTION; EXPECTATION VALUE; GAUGE INVARIANCE; GRAPH THEORY; HIGGS MODEL; MASS; SCALAR FIELDS; SCALARS; SPACE-TIME; TIME DEPENDENCE; U-1 GROUPS

Citation Formats

George, Damien P., Mooij, Sander, and Postma, Marieke, E-mail: dpgeorge@nikhef.nl, E-mail: smooij@nikhef.nl, E-mail: mpostma@nikhef.nl. Effective action for the Abelian Higgs model in FLRW. United States: N. p., 2012. Web. doi:10.1088/1475-7516/2012/11/043.
George, Damien P., Mooij, Sander, & Postma, Marieke, E-mail: dpgeorge@nikhef.nl, E-mail: smooij@nikhef.nl, E-mail: mpostma@nikhef.nl. Effective action for the Abelian Higgs model in FLRW. United States. doi:10.1088/1475-7516/2012/11/043.
George, Damien P., Mooij, Sander, and Postma, Marieke, E-mail: dpgeorge@nikhef.nl, E-mail: smooij@nikhef.nl, E-mail: mpostma@nikhef.nl. Thu . "Effective action for the Abelian Higgs model in FLRW". United States. doi:10.1088/1475-7516/2012/11/043.
@article{osti_22279828,
title = {Effective action for the Abelian Higgs model in FLRW},
author = {George, Damien P. and Mooij, Sander and Postma, Marieke, E-mail: dpgeorge@nikhef.nl, E-mail: smooij@nikhef.nl, E-mail: mpostma@nikhef.nl},
abstractNote = {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{sub ξ} gauge we show that the result is gauge invariant upon using the equations of motion.},
doi = {10.1088/1475-7516/2012/11/043},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 11,
volume = 2012,
place = {United States},
year = {2012},
month = {11}
}