Chiral Symmetry in the Confinement Phase of QCD

TL;DR

This paper explores the relationship between chiral symmetry, confinement, and entropy in QCD, proposing a model that links the total cross section behavior to confinement potential and entropy generation, suggesting a phase transition temperature distinct from QGP.

Contribution

It introduces a novel approach connecting the Pomeranchuk theorem, confinement potentials, and entropy to analyze chiral symmetry in the confinement phase of QCD.

Findings

The delta(s) parameter tends to zero at high energies.

Entropy and internal energy show logarithmic dependence on quark separation.

Estimated transition temperature is distinct from the QGP temperature.

Abstract

Based on the Pomeranchuk theorem, one constructs the $\delta(s)$ parameter to measure the difference between experimental data for the particle-particle and particle-antiparticle total cross section at the same energy. The experimental data for the proton-proton and proton-antiproton total cross section were used to show that, at the same energy, this parameter tends to zero as the collision energy grows. Furthermore, one assumes a classical description of the total cross section, dividing it into a finite number of non-interacting disjoint cells, each one containing a quark-antiquark pair subject to the confinement potential. Near the minimum of the total cross section, one associates $\delta(s)$ with the entropy generated by these cells, analogous to the XY model. Using both the Quigg-Rosner and Cornell confinement potentials and neglecting other energy contributions, one can calculate the internal energy of the hadron. One obtains that both the entropy and internal energy possess the same logarithmic dependence on the spatial separation between the pairs in the cell. The Helmholtz free energy is used to estimate the transition temperature, which is far from the temperature widely related to the Quark-Gluon Plasma.