ZZ<inf>3</inf> Polyakov loop models and inverse Monte-Carlo methods

C Wozar; T Kastner; S Uhlmann; A Wipf; T Heinzl

ZZ<inf>3</inf> Polyakov loop models and inverse Monte-Carlo methods

C Wozar, T Kastner, S Uhlmann, A Wipf, T Heinzl

School of Engineering, Computing and Mathematics

Research output: Contribution to journal › Conference proceedings published in a journal › peer-review

Abstract

We study effective Polyakov loop models for SU(3) Yang-Mills theory at finite temperature. A comprehensive mean field analysis of the phase diagram is carried out and compared to the results obtained from Monte-Carlo simulations. We find a rich phase structure including ferromagnetic and antiferromagnetic phases. Due to the presence of a tricritical point the mean field approximation agrees very well with the numerical data. Critical exponents associated with second-order transitions coincide with those of the Z3 Potts model. Finally, we employ inverse Monte-Carlo methods to determine the effective couplings in order to match the effective models to Yang-Mills theory.

Original language	English
Number of pages	0
Journal	Proceedings of Science
Volume	42
Issue number	0
Publication status	Published - 1 Jan 2007

Cite this

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title = "ZZ3 Polyakov loop models and inverse Monte-Carlo methods",

abstract = "We study effective Polyakov loop models for SU(3) Yang-Mills theory at finite temperature. A comprehensive mean field analysis of the phase diagram is carried out and compared to the results obtained from Monte-Carlo simulations. We find a rich phase structure including ferromagnetic and antiferromagnetic phases. Due to the presence of a tricritical point the mean field approximation agrees very well with the numerical data. Critical exponents associated with second-order transitions coincide with those of the Z3 Potts model. Finally, we employ inverse Monte-Carlo methods to determine the effective couplings in order to match the effective models to Yang-Mills theory.",

author = "C Wozar and T Kastner and S Uhlmann and A Wipf and T Heinzl",

year = "2007",

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T1 - ZZ3 Polyakov loop models and inverse Monte-Carlo methods

AU - Wozar, C

AU - Kastner, T

AU - Uhlmann, S

AU - Wipf, A

AU - Heinzl, T

PY - 2007/1/1

Y1 - 2007/1/1

N2 - We study effective Polyakov loop models for SU(3) Yang-Mills theory at finite temperature. A comprehensive mean field analysis of the phase diagram is carried out and compared to the results obtained from Monte-Carlo simulations. We find a rich phase structure including ferromagnetic and antiferromagnetic phases. Due to the presence of a tricritical point the mean field approximation agrees very well with the numerical data. Critical exponents associated with second-order transitions coincide with those of the Z3 Potts model. Finally, we employ inverse Monte-Carlo methods to determine the effective couplings in order to match the effective models to Yang-Mills theory.

AB - We study effective Polyakov loop models for SU(3) Yang-Mills theory at finite temperature. A comprehensive mean field analysis of the phase diagram is carried out and compared to the results obtained from Monte-Carlo simulations. We find a rich phase structure including ferromagnetic and antiferromagnetic phases. Due to the presence of a tricritical point the mean field approximation agrees very well with the numerical data. Critical exponents associated with second-order transitions coincide with those of the Z3 Potts model. Finally, we employ inverse Monte-Carlo methods to determine the effective couplings in order to match the effective models to Yang-Mills theory.

M3 - Conference proceedings published in a journal

SN - 1824-8039

VL - 42

JO - Proceedings of Science

JF - Proceedings of Science

IS - 0

ER -

ZZ<inf>3</inf> Polyakov loop models and inverse Monte-Carlo methods

Abstract

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