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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| Дата: | 2007 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147809 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147809 |
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irk-123456789-1478092019-02-17T01:27:46Z Generalized Potts-Models and their Relevance for Gauge Theories Wipf, A. Heinzl, T. Kaestner, T. Wozar, C. 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. 2007 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Wipf, A. Heinzl, T. Kaestner, T. Wozar, C. |
| spellingShingle |
Wipf, A. Heinzl, T. Kaestner, T. Wozar, C. Generalized Potts-Models and their Relevance for Gauge Theories Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Wipf, A. Heinzl, T. Kaestner, T. Wozar, C. |
| author_sort |
Wipf, A. |
| title |
Generalized Potts-Models and their Relevance for Gauge Theories |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
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| first_indexed |
2023-05-20T17:28:34Z |
| last_indexed |
2023-05-20T17:28:34Z |
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1796153390158315520 |