Fluctuations of order parameter in an $SU(N_c)$ effective model

Abstract

We investigate features of the deconfinement phase transition in an $SU(N_c)$ gauge theory as revealed by fluctuations of the order parameter. The tool of choice is an effective model built from one-loop expressions of the field determinants of gluon and ghost, in the presence of a Polyakov loop background field. We show that the curvature masses associated with the Cartan angles, which serve as a proxy to study the $A_0$-gluon screening mass, show a characteristic dip in the vicinity of the transition temperature. The strength of the observables, which reflects a competition between the confining and the deconfining forces, is sensitive to assumptions of dynamics, thus provides an interesting link between the $Z(N_c)$ vacuum structure and the properties of gluon and ghost propagators.

15 pages, 6 figures, typos. corrected, version appear in PRD

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Cited by in corpus (8)

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• Resummed Gluon Propagator and Debye Screening Effect in a Holonomous Plasma
• Effective model for pure Yang-Mills theory on ${\mathbb{T}}^2\times {\mathbb{R}}^2$ with Polyakov loops
• Polarization effects at finite temperature and magnetic field
• Massive Gauge Theory with Quasigluon for Hot $SU(N)$: Phase Transition and Thermodynamics
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops