Wilson Coefficients in the Operator Product Expansion of Scalar Currents at Finite Temperature

TL;DR

This paper analyzes the operator product expansion of scalar currents at finite temperature, calculating Wilson coefficients and including additional operators due to broken Lorentz invariance, to understand thermal correlation functions.

Contribution

It provides the first calculation of Wilson coefficients for scalar currents at finite temperature, accounting for additional operators from broken Lorentz symmetry.

Findings

Derived Wilson coefficients for thermal scalar current correlators.

Expressed the operator product expansion in terms of quark and gluon condensates and energy densities.

Highlighted the impact of finite temperature on the operator basis in OPE.

Abstract

In this paper, we investigate operator product expansion for thermal correlation function of the two scalar currents. Due to breakdown of Lorentz invariance at finite temperature, more operators of the same dimension appear in the operator product expansion than at zero temperature. We calculated Wilson coefficients in the short distance expansion and obtain operator product expansion for thermal correlation function in terms of quark condensate, gluon condensate, quark energy density and gluon energy density.