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.

arXiv comment15 pages, 6 figures, typos. corrected, version appear in PRD

References in corpus (57)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Thermodynamics of SU(3) Lattice Gauge Theory
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• On the infrared behavior of Landau gauge Yang-Mills theory
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• Quark Confinement from Color Confinement
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• Inverse magnetic catalysis and the Polyakov loop
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Coulomb Gauge QCD, Confinement, and the Constituent Representation
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
• Gauge bosons at zero and finite temperature
• Precision SU(3) lattice thermodynamics for a large temperature range
• Phase structure of three and four flavor QCD
• Phenomenological Equations of State for the Quark-Gluon Plasma
• Glueball Spectroscopy in a Relativistic Many-Body Approach to Hadron Structure
• Confinement from Correlation Functions
• Polyakov loop modeling for hot QCD
• Degrees of Freedom and the Deconfining Phase Transition
• On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
• Deconfinement transition in SU(N) theories from perturbation theory
• Effective matrix model for deconfinement in pure gauge theories
• Polyakov loop fluctuations in SU(3) lattice gauge theory and an effective gluon potential
• Self-consistent quasiparticle model for quark-gluon plasma
• A search for inverse magnetic catalysis in thermal quark-meson models
• SU(N_c) gauge theories at deconfinement
• Non-perturbative finite-temperature Yang-Mills theory
• Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD
• The gluon propagator close to criticality
• Equation of State of Gluon Plasma from Fundamental Modular Region
• Gluon Quasiparticles and the Polyakov Loop
• High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
• Gluon screening mass at finite temperature from Landau gauge gluon propagator in lattice QCD
• Propagators in Coulomb gauge from SU(2) lattice gauge theory
• Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond
• An effective gluon potential and hybrid approach to Yang-Mills thermodynamics
• Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function
• Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models
• Partition function for the eigenvalues of the Wilson line
• Polyakov loop and QCD thermodynamics from the gluon and ghost propagators
• The analytic structure of the lattice Landau gauge gluon and ghost propagators
• Probing Deconfinement with Polyakov Loop Susceptibilities
• Two-loop perturbative corrections to the thermal effective potential in gluodynamics
• SU(2) lattice gluon propagators at finite temperatures in the deep infrared region and Gribov copy effects
• Polyakov loop fluctuations and deconfinement in the limit of heavy quarks
• Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
• Constraining the gauge-fixed Lagrangian in minimal Landau gauge
• Confinement Models at Finite Temperature and Density
• Polyakov loop and gluon quasiparticles: a self-consistent approach to Yang-Mills thermodynamics
• Glueballs and the Yang-Mills plasma in a $T$-matrix approach
• Deconfinement in the presence of a strong magnetic field
• Polyakov loop fluctuations in the presence of external fields

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