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Generalized Potts-Models and their Relevance for Gauge Theories
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Generalized Potts-Models and their Relevance for Gauge Theories
Інший ID:
2000 Mathematics Subject Classification: 81T10; 81T25; 81T80
Посилання:
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.
Підтримка:
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.
Дата:
2007
Переглядів:
482
Завантажень:
240
Анотація:
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.
