Effective Theory of Wilson Lines and Deconfinement

Abstract

To study the deconfining phase transition at nonzero temperature, I outline the perturbative construction of an effective theory for straight, thermal Wilson lines. Certain large, time dependent gauge transformations play a central role. They imply the existence of interfaces, which can be used to determine the form of the effective theory as a gauged, nonlinear sigma model of adjoint matrices. Especially near the transition, the Wilson line may undergo a Higgs effect. As an adjoint field, this can generate eigenvalue repulsion in the effective theory.

6 pages, LaTeX. Final, published version. Refs. 7, 39, and 40 added. In Ref. 37, there is an expanded discussion of a "fuzzy" bag model

References in corpus (3)

• The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure
• Z(3)-symmetric effective theory for SU(3) Yang-Mills theory at high temperature
• Color Skyrmions in the Quark-Gluon Plasma

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