Kinetics of chiral phase transition in hot and dense quark matter

TL;DR

This paper investigates the non-equilibrium dynamics of chiral phase transitions in hot, dense quark matter using microscopic and phenomenological models, revealing domain growth behavior consistent with Allen-Cahn law.

Contribution

It provides a detailed analysis of the ordering kinetics and domain growth laws during chiral phase transitions in quark matter, combining microscopic and phenomenological approaches.

Findings

Domain growth follows the Allen-Cahn law, L(t) ~ t^{1/2}.

Characterization of the morphology via order-parameter correlation functions.

Study of bubble growth in metastable phases.

Abstract

The kinetics of chiral transitions in hot and dense quark matter is studied via a microscopic framework (Nambu-Jona-Lasinio model) and a phenomenological model (Ginzburg-Landau free energy). We focus on the far-from-equilibrium ordering dynamics subsequent to a quench from the massless quark phase to the massive quark phase. The morphology of the ordering system is characterized by the scaling of the order-parameter correlation function. The domain growth process obeys the Allen-Cahn growth law, $L(t)\sim t^{1/2}$. We also study the growth of bubble of the stable massive phase in a background of the metastable massive phase.