Temperature dependence of dimension 6 gluon operators and their effects on Charmonium

TL;DR

This paper investigates how dimension 6 gluon operators affect charmonium properties near the critical temperature, using lattice data and improved QCD sum rules to reveal abrupt changes in J/psi characteristics at T_c.

Contribution

It introduces a method to estimate dimension 6 gluon operator effects near T_c and enhances QCD sum rules for J/psi mass by including these operators.

Findings

Enhanced stability in the sum rule near T_c

Confirmation of abrupt J/psi property changes at T_c

Improved understanding of gluon operator effects on charmonium

Abstract

Starting from an earlier representation of the independent dimension 6 gluon operators in terms of color electric and magnetic fields, we estimate their changes near the critical temperature $T_c$ using the temperature dependence of the dimension 4 electric and magnetic condensates extracted from pure gauge theory on the lattice. We then improve the previous QCD sum rules for the $J/\psi$ mass near $T_c$ based on dimension 4 operators, by including the contribution of the dimension 6 operators to the OPE. We find an enhanced stability in the sum rule and confirm that the $J/\psi$ will undergo an abrupt change in the property across $T_c$.