Generalized Potts-Models and their Relevance for Gauge Theories

A Wipf, T Heinzl, T Kaestner, C Wozar

Research output: Contribution to journalArticlepeer-review

Abstract

We study the Polyakov loop dynamics originating from finite-temperature Yang-Mills theory. The effective actions contain center-symmetric terms involving powers of the Polyakov loop, each with its own coupling. For a subclass with two couplings we perform a detailed analysis of the statistical mechanics involved. To this end we employ a modified mean field approximation and Monte Carlo simulations based on a novel cluster algorithm. We find excellent agreement of both approaches. The phase diagram exhibits both first and second order transitions between symmetric, ferromagnetic and antiferromagnetic phases with phase boundaries merging at three tricritical points. The critical exponents $\nu$ and $\gamma$ at the continuous transition between symmetric and antiferromagnetic phases are the same as for the 3-state spin Potts model.
Original languageEnglish
Number of pages0
JournalSIGMA
Volume3
Issue number0
Publication statusPublished - 6 Oct 2006

Keywords

  • hep-lat

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