On Gauge Symmetry Breaking via Euclidean Time Component of Gauge Fields
High Energy Physics - Theory
2008-11-26 v3 High Energy Physics - Phenomenology
Abstract
We study gauge theories with/without an extra dimension at finite temperature, in which there are two kinds of order parameters of gauge symmetry breaking. The one is the zero mode of the gauge field for the Euclidean time direction and the other is that for the direction of the extra dimension. We evaluate the effective potential for the zero modes in one-loop approximation and investigate the vacuum configuration in detail. Our analyses show that gauge symmetry can be broken only through the zero mode for the direction of the extra dimension and no nontrivial vacuum configuration of the zero mode for the Euclidean time direction is found.
Keywords
Cite
@article{arxiv.0706.0071,
title = {On Gauge Symmetry Breaking via Euclidean Time Component of Gauge Fields},
author = {M. Sakamoto and K. Takenaga},
journal= {arXiv preprint arXiv:0706.0071},
year = {2008}
}
Comments
22 pages, 6 figures, references and typos corrected, version to appear in PRD