Temperature dependence of dimension 6 gluon operators and their 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 $T_c$.

5 pages, 5 figures; Added references

References in corpus (4)

• Mass Shift and Width Broadening of J/psi in hot gluonic plasma from QCD Sum Rules
• Critical behavior of charmonia across the phase transition: A QCD sum rule approach
• Properties of $J/\psi$ at $T_c$: QCD second-order Stark effect
• (Pseudo)Scalar Charmonium in Finite Temperature QCD

Cited by in corpus (5)

• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Light vector correlator in medium: Wilson coefficients up to dimension 6 operators
• Charmonium ground and excited states at finite temperature from complex Borel sum rules
• $J/\psi$ near $T_c$
• Wilson coefficients of dimension 6 gluon operators with spin indices in the heavy quark current correlation functions