⟨A2⟩ asymmetry in lattice SU(2) gluodynamics at

V. G. Bornyakov

¹

,

V.K. Mitrjushkin

²

Abstract

We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two A 2 gluon condensate at T > T c in the Landau-gauge SUð2Þ lattice gauge theory with a particular emphasis on finitevolume 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 the perturbative result.

Correlations and Critical Behavior in Lattice Gluodynamics

“…in Refs. [6,9]; the definitions of vector potentials A µ (x), and the description of gauge-fixing procedure as well as the expressions for the longitudinal D L (p) and transverse D T (p) gluon propagators -in Refs. [3,11,13].…”

“…Nevertheless, our conclusion of the critical behavior of the propagator presenrted in Refs. [9][10][11] holds true because it is based on the assumption of the smooth dependence of the conditional average hD(⌧)i P on P, no assumptions on its variance are made. Therewith, the regression curve can be extracted from the data only with a limited precision, therefore, the concept of smoothness should be formulated for the corridor of errors rather than for the proper function.…”

“…Recently, it was demonstrated that correlations between the Polyakov loop and the zeromomentum longitudinal propagator considerably facilitate the analysis of its critical behavior both in the SU(2) [9,10] and SU(3) [11] gluodynamics. This made it possible to describe critical behavior of the asymmetry and the propagator with unprecendented precision.…”

Correlations and Critical Behavior in Lattice Gluodynamics

“…in Refs. [6,9]; the definitions of vector potentials A µ (x), and the description of gauge-fixing procedure as well as the expressions for the longitudinal D L (p) and transverse D T (p) gluon propagators -in Refs. [3,11,13].…”

“…Recently, it was demonstrated that correlations between the Polyakov loop and the zeromomentum longitudinal propagator considerably facilitate the analysis of its critical behavior both in the SU(2) [9,10] and SU(3) [11] gluodynamics. This made it possible to describe critical behavior of the asymmetry and the propagator with unprecendented precision.…”