Z3 Polyakov Loop Models and Inverse Monte-Carlo Methods

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

Z3 Polyakov Loop Models and Inverse Monte-Carlo Methods

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

School of Engineering, Computing and Mathematics

Research output: Contribution to journal › Article › 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 Z_3 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	PoSLAT2007:341,2007
Volume	0
Issue number	0
Publication status	Published - 30 Aug 2007

1 Preprint

Z_3 Polyakov Loop Models and Inverse Monte-Carlo Methods
Wozar, C., Kaestner, T., Uhlmann, S., Wipf, A. & Heinzl, T., 30 Aug 2007.
Research output: Working paper / Preprint › Preprint

Cite this

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title = "Z3 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 Z\_3 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.",

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AU - Kaestner, T

AU - Uhlmann, S

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AU - Heinzl, T

PY - 2007/8/30

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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 Z_3 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 Z_3 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 - Article

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JO - PoSLAT2007:341,2007

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Z3 Polyakov Loop Models and Inverse Monte-Carlo Methods

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Z_3 Polyakov Loop Models and Inverse Monte-Carlo Methods

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