Inverse Monte-Carlo determination of effective lattice models for SU(3) Yang-Mills theory at finite temperature

Abstract

This paper concludes our efforts in describing SU(3)-Yang-Mills theories at different couplings/temperatures in terms of effective Polyakov-loop models. The associated effective couplings are determined through an inverse Monte Carlo procedure based on novel Schwinger-Dyson equations that employ the symmetries of the Haar measure. Due to the first-order nature of the phase transition we encounter a fine-tuning problem in reproducing the correct behavior of the Polyakov-loop from the effective models. The problem remains under control as long as the number of effective couplings is sufficiently small.

10 pages, 7 figures

References in corpus (3)

• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Phase Structure of Z(3)-Polyakov-Loop Models
• Renormalization Group Therapy

Cited by in corpus (8)

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• Zero Point Energy of Renormalized Wilson Loops
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• $\xi /{\xi }_{2nd}$ ratio as a tool to refine Effective Polyakov Loop models
• Strong coupling methods in QCD thermodynamics
• Z_3 Polyakov Loop Models and Inverse Monte-Carlo Methods