The $A^2$ asymmetry and propagators in lattice $SU(2)$ gluodynamics at $T>T_c$

Abstract

We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two $A^2$ gluon condensate as well as the transverse and longitudinal gluon propagators at $T>T_c$ in the Landau-gauge $SU(2)$ lattice gauge theory with a particular emphasis on finite-volume effects. We show that previously found so called symmetric point at which asymmetry changes sign is an artifact of the finite volume effects. We find that with increasing temperature the asymmetry decreases approaching zero value from above in agreement with perturbative result. Instead of the asymmetry we suggest the ratio of the transverse to longitudinal propagator taken at zero momentum as an indicator of the boundary of the postconfinement domain and find it at $T\simeq 1.7T_c$.

12 pages, 7 figures, 7 tables, 1 appendix

References in corpus (11)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Strongly coupled plasma with electric and magnetic charges
• Magnetic Component of Quark-Gluon Plasma is also a Liquid!
• Magnetic component of Yang-Mills plasma
• How Wide is the Transition to Deconfinement?
• High statistics determination of the strong coupling constant in Taylor scheme and its OPE Wilson coefficient from lattice QCD with a dynamical charm
• Electric-magnetic asymmetry of the A^2 condensate and the phases of Yang-Mills theory
• Three-gluon running coupling from lattice QCD at $N_f=2+1+1$: a consistency check of the OPE approach
• Infinite volume and continuum limits for gluon propagator in 3d SU(2) lattice gauge theory
• The asymmetry of the dimension 2 gluon condensate: the finite temperature case

Cited by in corpus (4)

• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• The $A^2$ Asymmetry and Gluon Propagators in Lattice $SU(3)$ Gluodynamics at $T\simeq T_c$
• Correlations and Critical Behavior in Lattice Gluodynamics