Generalized Potts-Models and their Relevance for Gauge Theories
Vernadsky National Library of Ukraine
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Title |
Generalized Potts-Models and their Relevance for Gauge Theories
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Creator |
Wipf, A.
Heinzl, T. Kaestner, T. Wozar, C. |
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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.
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Date |
2019-02-16T08:36:02Z
2019-02-16T08:36:02Z 2007 |
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Type |
Article
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Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/147809 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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