Chiral phase transition inside a rotating cylinder within the Nambu--Jona-Lasinio model

TL;DR

This paper investigates how finite size and rotation within a cylindrical geometry affect the chiral phase transition in quark matter, revealing that both factors lower the transition temperature and chemical potential, with implications for heavy-ion collisions and neutron stars.

Contribution

It introduces a study of chiral phase transition inside a rotating cylinder using the NJL model, considering finite size and rotation effects with spectral boundary conditions.

Findings

Finite size reduces the chiral transition temperature.

Rotation decreases both the transition temperature and chemical potential.

Results have implications for heavy-ion collisions and neutron star physics.

Abstract

We study the chiral phase transition inside a rotating cylinder within the framework of the Namb--Jona-Lasinio model. A spectral boundary condition is imposed to avoid faster than light. We investigate how the geometry of the cylinder and rotation influence the chiral phase transition at finite temperature and chemical potential. The inhomogeneous effects caused by the finite size and rotation are also taken into account. It is found that finite size will reduce the chiral transition temperature and raises the chiral transition chemical potential, while the rotation reduces both the chiral transition temperature and chemical potential. In addition, we discuss the implications of our results in heavy-ion collisions and equation of states of neutron star.