Light-front Nambu--Jona-Lasinio model at finite temperature and density

TL;DR

This paper extends the light-front quantisation method to finite temperature and density, analyzing quark matter, pionic and diquark dynamics, and nucleon properties, with implications for nuclear matter under extreme conditions.

Contribution

It introduces a light-front Nambu--Jona-Lasinio model at finite temperature and density, enabling comparison with traditional approaches for studying quark matter and nuclear phenomena.

Findings

Determines masses and Mott dissociation of pions and diquarks.

Calculates critical temperature for color superconductivity.

Provides critical lines for nucleon breakup.

Abstract

In recent years light-front quantisation has been extended to allow for a consistent treatment of systems at finite temperature and density. This is in particular interesting for an investigation of the processes in nuclear matter under extreme condition as occurring, e.g., during a heavy ion collision. Utilising a Dyson expansion to the N-point Green functions at finite temperature and density we focus on the occurrence of pionic and scalar diquark dynamics in quark matter and compute the masses and the Mott dissociation using a separable t-matrix approach. For the scalar quark-quark correlation we determine the critical temperature of colour superconductivity using the Thouless criterion. On the same footing the properties of the nucleon in a medium of quark matter are computed within a Faddeev approach. Critical lines for nucleon breakup are given. Presently, we use a light-front Nambu--Jona-Lasinio model that allows us to compare these results of this novel approach to the more traditional instant form approach, where applicable.