Generalized Potts-Models and their Relevance for Gauge Theories

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dc.creatorWipf, Andreas
dc.creatorHeinzl, Thomas
dc.creatorKaestner, Tobias
dc.creatorWozar, Christian
dc.date2006-10-06
dc.date2007-01-05
dc.date.accessioned2026-07-07T12:20:25Z
dc.date.available2026-07-07T12:20:25Z
dc.descriptionWe 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 $ν$ and $γ$ at the continuous transition between symmetric and antiferromagnetic phases are the same as for the 3-state spin Potts model.
dc.descriptionThis is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/hep-lat/0610043
dc.identifierhttp://arxiv.org/abs/hep-lat/0610043
dc.identifierSIGMA 3:006,2007
dc.identifierdoi:10.3842/SIGMA.2007.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213061
dc.subjectHigh Energy Physics - Lattice
dc.titleGeneralized Potts-Models and their Relevance for Gauge Theories
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