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

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

2007-04-19

arxiv.org/abs/0704.2570v1

Phys.Rev.D76:085004,2007

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 7 figures

Scientific paper

10.1103/PhysRevD.76.085004

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.

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