Thermal effects on quark-gluon mixed condensate g<\bar{q} \sigma G q> from lattice QCD

TL;DR

This study investigates how the quark-gluon mixed condensate and quark condensate behave at finite temperatures using lattice QCD, revealing weak thermal effects below the critical temperature and similar chiral behavior near T_c.

Contribution

First lattice QCD analysis of thermal effects on the mixed condensate g<ar{q} \sigma G q> and its ratio to the quark condensate, showing weak effects below T_c and consistent chiral behavior.

Findings

Both condensates sharply decrease around T_c.

The ratio m_0^2 remains nearly constant across temperatures.

Thermal effects are weak below T_c.

Abstract

We present the first study of the thermal effects on the quark-gluon mixed condensate g<\bar{q} \sigma G q>, which is another chiral order parameter, in SU(3)c lattice QCD with the Kogut-Susskind fermion at the quenched level. Using the lattices at \beta=6.0, 6.1, 6.2 in high statistics, we calculate the mixed condensate as well as the quark condensate in the chiral limit for the temperature 0MeV <= T <= 500MeV. Except for the sharp decrease of both the condensates around T_c \simeq 280MeV, the thermal effects are found to be weak below T_c. We also find that the ratio m_0^2 = g<\bar{q} \sigma G q>/ <\bar{q}q> is almost independent of the temperature even in the very vicinity of T_c. This result indicates nontrivial similarity in the chiral behaviors of the two different condensates.