Correlations and Critical Behavior in Lattice Gluodynamics

Abstract

In the Landau-gauge lattice gluodynamics we find that, both in the SU(2) and SU(3) theory, a correlation of the Polyakov loop with the asymmetry of the $A^2$ gluon condensate as well as with the longitudinal propagator makes it possible to determine the critical behavior of these quantities. We discuss finite-volume corrections and reveal that they can be reduced by the use of regression analysis. We also analyze the temperature dependence of low-momenta propagators in different Polyakov-loop sectors.

arXiv comment9 pages, 6 figures; talk given at the international online conference "Quark Confinement and the Hadron Spectrum", August 2nd-6th 2021, hosted by University of Stavanger, Norway

References in corpus (14)

• Thermodynamics of SU(3) Lattice Gauge Theory
• The Nf=0 heavy quark potential from short to intermediate distances
• Gauge bosons at zero and finite temperature
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD
• The gluon propagator close to criticality
• Electric-magnetic asymmetry of the A^2 condensate and the phases of Yang-Mills theory
• Running coupling constant and propagators in SU(2) Landau gauge
• Gluon Dynamics, Center Symmetry and the deconfinement phase transition in SU(3) pure Yang-Mills theory
• Center clusters in the Yang-Mills vacuum
• The asymmetry of the dimension 2 gluon condensate: the finite temperature case
• The $A^2$ asymmetry and propagators in lattice $SU(2)$ gluodynamics at $T>T_c$
• The $⟨A^2⟩$ Asymmetry and Longitudinal Propagator in Lattice $SU(2)$ Gluodynamics at $T\simeq T_c$
• The $A^2$ Asymmetry and Gluon Propagators in Lattice $SU(3)$ Gluodynamics at $T\simeq T_c$