Equilibrium criterion and effective spin models for finite temperature gauge theories

Abstract

Using the example of the SU(2) gauge theory in 3+1 dimensions we consider the construction of a 3-dimensional effective model in terms of Polyakov loops. We demonstrate the application of an equilibrium self-consistency condition to the systematic analysis of the contribution of various (global Z(2) symmetric) terms in the effective model action. We apply this analysis to the construction of a simple effective action with the minimum necessary number of operators. Such an action is shown to be capable of reproducing relevant observables, e.g. the Polyakov loop ensemble average, within the desired accuracy.

5 pages, 4 figures, minor corrections

References in corpus (8)

• Inverse Monte-Carlo determination of effective lattice models for SU(3) Yang-Mills theory at finite temperature
• Effective Actions for the SU(2) Confinement-Deconfinement Phase Transition
• Effective lattice theories for Polyakov loops
• Canonical Demon Monte Carlo Renormalization Group
• Toward an analytic determination of the deconfinement temperature in SU(2) L.G.T.
• Renormalization Group Therapy
• Improving the improved action
• String tension and removal of lattice coarsening effects in Monte Carlo Renormalization Group

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• Zero Point Energy of Renormalized Wilson Loops
• Effective Polyakov line action from the relative weights method
• Effective Polyakov line action from strong lattice couplings to the deconfinement transition
• Effective Polyakov Loop Dynamics for Finite Temperature G(2) Gluodynamics
• Effective potential for Polyakov loops from a center symmetric effective theory in three dimensions
• Lattice simulation of a center symmetric three-dimensional effective theory for SU(2) Yang-Mills