Gauge symmetry breaking via Euclidean time component of gauge fields

Journal Article · Mon Oct 15 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.085016· OSTI ID:21032502

Sakamoto, Makoto ^[1]; Takenaga, Kazunori ^[2]

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1. Department of Physics, Kobe University, Rokkodai, Nada, Kobe 657-8501 (Japan)
2. Department of Physics, Tohoku University, Sendai 980-8578 (Japan)

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 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.

• OSTI ID: 21032502
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
EUCLIDEAN SPACE
GAUGE INVARIANCE
ORDER PARAMETERS
POTENTIALS
QUANTUM FIELD THEORY
SYMMETRY BREAKING