Generalized Potts-Models and their Relevance for Gauge Theories
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 mecha...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2007 |
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| Sprache: | English |
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Інститут математики НАН України
2007
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| 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. |
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Wipf, A. Heinzl, T. Kaestner, T. Wozar, C. 2019-02-16T08:36:02Z 2019-02-16T08:36:02Z 2007 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. 1815-0659 2000 Mathematics Subject Classification: 81T10; 81T25; 81T80 https://nasplib.isofts.kiev.ua/handle/123456789/147809 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. This paper is a contribution to the Proceedings of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary). Andreas Wipf would like to thank the local organizing committee of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory for organizing such a stimulating and pleasant meeting on the hills of Budapest to commemorate Lochlainn O’Raifeartaigh and his important contributions to physics. This contribution is very much in the tradition of his research on the role of symmetries and ef fective potentials in field theory. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Generalized Potts-Models and their Relevance for Gauge Theories Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Generalized Potts-Models and their Relevance for Gauge Theories |
| spellingShingle |
Generalized Potts-Models and their Relevance for Gauge Theories Wipf, A. Heinzl, T. Kaestner, T. Wozar, C. |
| title_short |
Generalized Potts-Models and their Relevance for Gauge Theories |
| title_full |
Generalized Potts-Models and their Relevance for Gauge Theories |
| title_fullStr |
Generalized Potts-Models and their Relevance for Gauge Theories |
| title_full_unstemmed |
Generalized Potts-Models and their Relevance for Gauge Theories |
| title_sort |
generalized potts-models and their relevance for gauge theories |
| author |
Wipf, A. Heinzl, T. Kaestner, T. Wozar, C. |
| author_facet |
Wipf, A. Heinzl, T. Kaestner, T. Wozar, C. |
| publishDate |
2007 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147809 |
| citation_txt |
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. |
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| first_indexed |
2025-11-28T16:03:24Z |
| last_indexed |
2025-11-28T16:03:24Z |
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1850853849623953408 |