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.

arXiv comment6 pages, LaTeX. Final, published version. Refs. 7, 39, and 40 added. In Ref. 37, there is an expanded discussion of a "fuzzy" bag model

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• Random matrix theory and symmetric spaces
• Spatial 't Hooft loop, hot QCD and Z_N domain walls
• The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure
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