On 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. 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.

22 pages, 6 figures, references and typos corrected, version to appear in PRD

References in corpus (3)

• WWZ, WWH, and ZZH Couplings in the Dynamical Gauge-Higgs Unification in the Warped Spacetime
• Effects of Bulk Mass in Gauge-Higgs Unification
• Bulk Mass Effects in Gauge-Higgs Unification at Finite Temperature

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• Gauge Symmetry Breaking Patterns in an SU(5) Grand Gauge-Higgs Unification
• High Temperature Symmetry Nonrestoration and Inverse Symmetry Breaking on Extra Dimensions
• Multi-Higgs Mass Spectrum in Gauge-Higgs Unification
• Phase structure of pure SU(3) lattice gauge theory in 5 dimensions
• Temperature Inversion Symmetry in Gauge-Higgs Unification Models