Transport Theory from the Nambu-Jona-Lasinio Lagrangian

TL;DR

This paper develops a transport theory based on the (Polyakov-)Nambu-Jona-Lasinio Lagrangian to describe quark-gluon plasma expansion and phase transition in heavy-ion collisions without introducing new parameters.

Contribution

It introduces a novel transport approach derived from the (P)NJL model that captures the plasma expansion and phase transition without additional parameters.

Findings

Transport theory describes quark-antiquark plasma expansion.

Predicts first-order phase transition at finite chemical potential.

Applicable to ultrarelativistic heavy-ion collision data.

Abstract

Starting from the (Polyakov-) Nambu-Jona-Lasinio Lagrangian, (P)NJL, we formulate a transport theory which allows for describing the expansion of a quark-antiquark plasma and the subsequent transition to the hadronic world --without adding any new parameter to the standard (P)NJL approach, whose parameters are fixed to vacuum physics. This transport theory can be used to describe ultrarelativistic heavy-ion reaction data as well as to study the (first-order) phase transition during the expansion of the plasma. (P)NJL predicts such a phase transition for finite chemical potentials. In this contribution we give an outline of the necessary steps to obtain such a transport theory and present first results.