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.

arXiv comment10 pages, 7 figures

References in corpus (14)

• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• Exceptional Confinement in G(2) Gauge Theory
• The Deconfinement Phase Transition of Sp(2) and Sp(3) Yang-Mills Theories in 2+1 and 3+1 Dimensions
• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Phase Structure of Z(3)-Polyakov-Loop Models
• Effective Actions for the SU(2) Confinement-Deconfinement Phase Transition
• Tests of the Polyakov Loops Model
• Effective lattice theories for Polyakov loops
• Toward an analytic determination of the deconfinement temperature in SU(2) L.G.T.
• Canonical Demon Monte Carlo Renormalization Group
• Ising description of the transition region in SU(3) gauge theory at finite temperature
• Renormalization Group Therapy
• Ward Identities for Invariant Group Integrals

Cited by in corpus (23)

• Quark Confinement from Color Confinement
• How Wide is the Transition to Deconfinement?
• Flux representation of an effective Polyakov loop model for QCD thermodynamics
• Universal Aspects of QCD-like Theories
• Small shear viscosity in the semi quark gluon plasma
• Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series
• Hard thermal loops, to quadratic order, in the background of a spatial 't Hooft loop
• Coherent center domains in SU(3) gluodynamics and their percolation at T_c
• QCD in the heavy dense regime for general $N_c$: On the existence of quarkyonic matter
• Zero Point Energy of Renormalized Wilson Loops
• Mean field theory of effective spin models as a baryon fugacity expansion
• The potential of the effective Polyakov line action from the underlying lattice gauge theory
• Effective Polyakov Loop Dynamics for Finite Temperature G(2) Gluodynamics
• Equilibrium criterion and effective spin models for finite temperature gauge theories
• Two-color QCD via dimensional reduction
• Towards a theoretical description of dense QCD
• A finite-density transition line for QCD with 695 MeV dynamical fermions
• Strong coupling methods in QCD thermodynamics
• $\xi /{\xi }_{2nd}$ ratio as a tool to refine Effective Polyakov Loop models
• Effective lattice action for the configurations smeared by the Wilson flow
• Z_3 Polyakov Loop Models and Inverse Monte-Carlo Methods
• Heavy dense QCD from a 3d effective lattice theory
• Effective lattice Polyakov loop theory for finite temperature Yang-Mills