Gauge symmetry breaking via Euclidean time component of gauge fields
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. 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 the oneloop 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.
 Publication:

Physical Review D
 Pub Date:
 October 2007
 DOI:
 10.1103/PhysRevD.76.085016
 arXiv:
 arXiv:0706.0071
 Bibcode:
 2007PhRvD..76h5016S
 Keywords:

 11.10.Wx;
 11.10.Kk;
 11.30.Qc;
 Finitetemperature field theory;
 Field theories in dimensions other than four;
 Spontaneous and radiative symmetry breaking;
 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 22 pages, 6 figures, references and typos corrected, version to appear in PRD