Nambu-Jona-Lasinio model in a sphere

TL;DR

This paper investigates how finite size effects influence the chiral phase transition in the two-flavor NJL model within a spherical geometry, highlighting the impact of boundary conditions on the transition.

Contribution

It introduces the analysis of the NJL model in a spherical setting with MIT boundary conditions, emphasizing the significance of boundary effects on phase transition behavior.

Findings

MIT boundary condition causes stronger finite size effects than antiperiodic boundary condition.

Finite size effects are significant in the spherical NJL model.

Results may improve understanding of finite size effects in heavy-ion collisions.

Abstract

We study the chiral phase transition of the two flavor Nambu-Jona-Lasinio (NJL) model in a sphere with the MIT boundary condition. We find that the MIT boundary condition results in much stronger finite size effects than the antiperiodic boundary condition. Our work may be helpful to study the finite size effects in heavy-ion collision in a more realistic way.