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Realization of dimensional reduction at high temperature

  • T. Reisz
Article

Abstract

Renormalizable four-dimensional field theories reduce at high temperature to effective three-dimensional field models with generically nonlocal interactions induced by the thermal degrees of freedom. Reduction to a local and renormalizable effective model is analyzed here for the example ofSU(N c ) lattice gauge theory by means of perturbation theory. The infrared problems are cured by applying the coupled large volume and small coupling expansion. ForSU(2) it is shown to the lower orders in this expansion that in the temperature rangeT≧3T c dimensional reduction applies, where we consider the following observables: thermal Polyakov line correlations, out of which the interquark potential is derived, and spatial Wilson loops. We also propose an alternative description, in which the effective theory is a gauge theory that lives on a lattice with one time slice and a least number of effective vertices.

Keywords

Gauge Theory Dimensional Reduction Wilson Loop Time Slice Lattice Gauge Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • T. Reisz
    • 1
  1. 1.Fakultät für PhysikUniversität BielefeldBielefeld 1Federal Republic of Germany

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