Effective Polyakov line action from strong lattice couplings to the deconfinement transition

Abstract

We calculate the effective Polyakov line action corresponding to SU(2) lattice gauge theory on a 16^3 X 4 lattice via the "relative weights" method. We consider a variety of lattice couplings, ranging from beta=1.2 in the strong-coupling domain, to beta=2.3 at the deconfinement transition, in order to study how the effective action evolves with beta. Comparison of Polyakov line correlators computed in the effective theory and the underlying gauge theory is used to test the validity of the effective action for beta > 1.4, while for beta=1.2, 1.4 we can compare our effective action to the one obtained from a low-order strong-coupling expansion. Very good agreement is found at all couplings. We find that the effective action is given by a simple expression bilinear in the Polyakov lines. The range of the bilinear term, away from strong coupling, grows rapidly in lattice units as beta increases.

15 pages, 8 figures

References in corpus (5)

• Flux representation of an effective Polyakov loop model for QCD thermodynamics
• Monte Carlo simulation of the SU(3) spin model with chemical potential in a flux representation
• Mean field theory of effective spin models as a baryon fugacity expansion
• Effective Polyakov line action from the relative weights method
• Equilibrium criterion and effective spin models for finite temperature gauge theories

Cited by in corpus (12)

• Polyakov loop modeling for hot QCD
• Comparison of complex Langevin and mean field methods applied to effective Polyakov line models
• Anatomy of the sign-problem in heavy-dense QCD
• Finding the effective Polyakov line action for SU(3) gauge theories at finite chemical potential
• Relative weights approach to SU(3) gauge theories with dynamical fermions at finite density
• Towards a theoretical description of dense QCD
• A finite-density transition line for QCD with 695 MeV dynamical fermions
• Polyakov line actions from SU(3) lattice gauge theory with dynamical fermions via relative weights
• Strong coupling methods in QCD thermodynamics
• $\xi /{\xi }_{2nd}$ ratio as a tool to refine Effective Polyakov Loop models
• Numerical corrections to the strong coupling effective Polyakov-line action for finite T Yang-Mills theory
• Heavy dense QCD from a 3d effective lattice theory