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Title: Wilson line in finite-temperature gauge theories

Abstract

The phases of SU(N) gauge theories at finite temperature can be analyzed in terms of the Wilson line L(x) = TrP exp(ig..integral../sub 0//sup ..beta../A/sub 0/(x,tau)dtau). The question of confinement is related to the spontaneous breakdown of a Z(N) symmetry: not =0 corresponds to symmetry breaking and deconfinement, = 0 implies symmetry restoration and confinement. A previous calculation of the one-loop effective potential for L is discussed in SU(N) theories, both with and without fermions. A possible mechanism for the confining-deconfining transition in terms of the formation of ''Z(N) bubbles'' is discussed. For SU(2) theories, the Z(2) bubbles are simply finite-temperature instantons. However, Z(N) bubbles are not finite-temperature instantons for SU(N). It is shown that a bag picture of hadronic structure similar to that of Callan, Dashen, and Gross may emerge from this picture.

Authors:
Publication Date:
Research Org.:
Department of Physics, University of British Columbia, Vancouver, British Columbia V6T 2A6, Canada
OSTI Identifier:
5494275
Resource Type:
Journal Article
Journal Name:
Phys. Rev. D; (United States)
Additional Journal Information:
Journal Volume: 25:10
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GAUGE INVARIANCE; SU GROUPS; TEMPERATURE DEPENDENCE; BOUNDARY CONDITIONS; INSTANTONS; LATTICE FIELD THEORY; PARTITION FUNCTIONS; SYMMETRY BREAKING; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; QUANTUM FIELD THEORY; QUASI PARTICLES; SYMMETRY GROUPS; 645400* - High Energy Physics- Field Theory; 645301 - High Energy Physics- Particle Invariance Principles & Symmetries- General- (-1987)

Citation Formats

Weiss, N. Wilson line in finite-temperature gauge theories. United States: N. p., 1982. Web. doi:10.1103/PhysRevD.25.2667.
Weiss, N. Wilson line in finite-temperature gauge theories. United States. https://doi.org/10.1103/PhysRevD.25.2667
Weiss, N. Sat . "Wilson line in finite-temperature gauge theories". United States. https://doi.org/10.1103/PhysRevD.25.2667.
@article{osti_5494275,
title = {Wilson line in finite-temperature gauge theories},
author = {Weiss, N},
abstractNote = {The phases of SU(N) gauge theories at finite temperature can be analyzed in terms of the Wilson line L(x) = TrP exp(ig..integral../sub 0//sup ..beta../A/sub 0/(x,tau)dtau). The question of confinement is related to the spontaneous breakdown of a Z(N) symmetry: not =0 corresponds to symmetry breaking and deconfinement, = 0 implies symmetry restoration and confinement. A previous calculation of the one-loop effective potential for L is discussed in SU(N) theories, both with and without fermions. A possible mechanism for the confining-deconfining transition in terms of the formation of ''Z(N) bubbles'' is discussed. For SU(2) theories, the Z(2) bubbles are simply finite-temperature instantons. However, Z(N) bubbles are not finite-temperature instantons for SU(N). It is shown that a bag picture of hadronic structure similar to that of Callan, Dashen, and Gross may emerge from this picture.},
doi = {10.1103/PhysRevD.25.2667},
url = {https://www.osti.gov/biblio/5494275}, journal = {Phys. Rev. D; (United States)},
number = ,
volume = 25:10,
place = {United States},
year = {1982},
month = {5}
}