Analytic approach to the study of the electric-magnetic asymmetry of the dimension 2 condensate

TL;DR

This paper investigates the temperature-dependent electric-magnetic asymmetry of the dimension 2 condensate using analytical methods, aiming to deepen understanding of lattice findings related to deconfinement transition phenomena.

Contribution

It introduces an analytical approach to study the electric-magnetic asymmetry of the <A^2> condensate, extending previous lattice and numerical analyses.

Findings

Asymmetry exhibits a jump at the deconfinement transition

Below critical temperature, asymmetry shows exponential behavior with a smaller mass scale

Analytical methods provide new insights into lattice observations

Abstract

Recent work by Chernodub and Ilgenfritz has uncovered non-trivial temperature dependence in the electric-magnetic asymmetry in the dimension 2 condensate. This asymmetry measures the difference between the spatial and the temporal components of the <A^2> condensate. Lattice computations have shown very interesting phenomena. The asymmetry shows a jump at the deconfinement phase transition, beyond which it approaches its perturbative value. At temperatures lower than the critical temperature, it shows an exponential behavior with in the exponent a mass smaller than the lowest glueball mass. In this talk we present research done on this asymmetry, using a generalization of analytical methods developed to study <A^2>. The purpose is to shed more insight on the findings of Chernodub and Ilgenfritz.