Generalized Potts-Models and their Relevance for Gauge Theories

• Datum: 2007
• Hauptverfasser: Wipf, A., Heinzl, T., Kaestner, T., Wozar, C.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2007
• Schriftenreihe: Symmetry, Integrability and Geometry: Methods and Applications
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/147809
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Generalized Potts-Models and their Relevance for Gauge Theories / A. Wipf, T. Heinzl, T. Kaestner, C. Wozar // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ.

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 ν and γ at the continuous transition between symmetric and antiferromagnetic phases are the same as for the 3-state spin Potts model.