Kinetics of Chiral Phase Transitions in Quark Matter

TL;DR

This paper investigates the kinetics of chiral phase transitions in quark matter, analyzing domain growth and bubble formation using microscopic and phenomenological models, revealing a $t^{1/2}$ growth law.

Contribution

It combines microscopic (Nambu-Jona-Lasinio) and phenomenological (Ginzburg-Landau) models to study chiral transition kinetics and domain growth in quark matter.

Findings

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

Characterized the morphology of the ordering system via correlation function scaling.

Studied bubble growth from metastable to stable phases.

Abstract

We study the kinetics of chiral transitions in quark matter using a microscopic framework (Nambu-Jona-Lasinio model) and a phenomenological model (Ginzburg-Landau free energy). We focus on the coarsening 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 bubbles of the stable massive phase from the metastable massless phase.