Temperature Dependence of the Effective Bag Constant and the Radius of a Nucleon in the Global Color Symmetry Model of QCD

TL;DR

This paper investigates how the effective bag constant, nucleon mass, and radius change with temperature in a QCD model, revealing phase transitions related to deconfinement and chiral symmetry restoration.

Contribution

It provides a detailed analysis of temperature effects on nucleon properties within the Dyson-Schwinger equation framework of QCD, highlighting phase transition phenomena.

Findings

Effective bag constant and mass decrease with temperature.

Nucleon radius increases and diverges at critical temperature.

Chiral condensate vanishes at the phase transition.

Abstract

We study the temperature dependence of the effective bag constant, the mass, and the radius of a nucleon in the formalism of the simple global color symmetry model in the Dyson-Schwinger equation approach of QCD with a Gaussian-type effective gluon propagator. We obtain that, as the temperature is lower than a critical value, the effective bag constant and the mass decrease and the radius increases with the temperature increasing. As the critical temperature is reached, the effective bag constant and the mass vanish and the radius tends to infinity. At the same time, the chiral quark condensate disappears. These phenomena indicate that the deconfinement and the chiral symmetry restoration phase transitions can take place at high temperature. The dependence of the critical temperature on the interaction strength parameter in the effective gluon propagator of the approach is given.