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

TL;DR

This paper investigates how the asymmetry and magnitude of the dimension two gluon condensate change with temperature, revealing a positive asymmetry that vanishes at high temperatures and comparing results with lattice data.

Contribution

It provides a detailed calculation of the temperature dependence of the dimension two gluon condensate and its asymmetry using local composite operators formalism, extending previous work.

Findings

Asymmetry in the condensate is positive and vanishes at high temperature.

The full condensate decreases with temperature and disappears at sufficiently high temperatures.

Results are consistent with lattice data by Chernodub and Ilgenfritz.

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.