The $⟨A^2⟩$ Asymmetry and Longitudinal Propagator in Lattice $SU(2)$ Gluodynamics at $T\simeq T_c$

Abstract

We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two gluon condensate as well as the longitudinal gluon propagator at $T\simeq T_c$ in the Landau-gauge $SU(2)$ lattice gauge theory. We show that substantial correlation between the asymmetry and the Polyakov loop as well as the correlation between the longitudinal propagator and the Polyakov loop pave the way to studies of the critical behavior of the asymmetry and the longitudinal propagator. The respective values of critical exponents and amplitudes are evaluated.

6 pages, 6 figures

References in corpus (6)

• Precision Islands in the Ising and $O(N)$ Models
• 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
• Finite temperature SU(2) gauge theory: critical coupling and universality class
• The asymmetry of the dimension 2 gluon condensate: the finite temperature case

Cited by in corpus (2)

• The $A^2$ Asymmetry and Gluon Propagators in Lattice $SU(3)$ Gluodynamics at $T\simeq T_c$
• Correlations and Critical Behavior in Lattice Gluodynamics