Study of the crossover transition of a gas of extended hadrons

TL;DR

This paper models a gas of extended hadrons to replicate the crossover transition observed in lattice QCD, revealing conditions where the system behaves as an ideal quark-gluon gas at high temperatures.

Contribution

It introduces a simple, compressible bag model for hadrons that captures the crossover transition and connects hadronic matter to quark-gluon plasma behavior.

Findings

Reproduction of lattice QCD-like crossover transition

Identification of conditions for infinite bag formation

Demonstration of ideal quark-gluon gas behavior at high temperature

Abstract

We formulate a simple model for a gas of extended hadrons at zero chemical potential by taking inspiration from the compressible bag model. We show that a crossover transition qualitatively similar to lattice QCD can be reproduced by such a system by including some appropriate additional dynamics. Under certain conditions, at high temperature, the system consists of a finite number of infinitely extended bags, which occupy the entire space. In this situation the system behaves as an ideal gas of quarks and gluons.