The asymmetry of the dimension 2 gluon condensate: the finite temperature case

Abstract

In this paper, we continue the work begun in a previous article. We compute, in the formalism of local composite operators, the value of the asymmetry in the dimension two condensate for finite temperatures. We find a positive value for the asymmetry, which disappears when the temperature is increased. We also compute the value of the full dimension two condensate for higher temperatures, and we find that it decreases in absolute value, finally disappearing for sufficiently high temperature. We also comment on the temperature dependence of the electric and magnetic components of the condensate separately. We compare our results with the corresponding lattice date found by Chernodub and Ilgenfritz.

arXiv comment8 pages, 4 figures

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• The $A^2$ asymmetry and propagators in lattice $SU(2)$ gluodynamics at $T>T_c$
• The $A^2$ Asymmetry and Gluon Propagators in Lattice $SU(3)$ Gluodynamics at $T\simeq T_c$
• The $⟨A^2⟩$ Asymmetry and Longitudinal Propagator in Lattice $SU(2)$ Gluodynamics at $T\simeq T_c$
• Correlations and Critical Behavior in Lattice Gluodynamics