# Kinetics of the chiral phase transition in a quark-meson $\\sigma$ model

Source: [Kinetics of the chiral phase transition in a quark-meson $\\sigma$ model](<https://www.sota2.com/research/paper/68fa433d1e209131ce908611>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T04:12:15.458Z

Authors: H. van Hees, A. Meistrenko, C. Greiner

Published: 2022-09-13T11:17:51.000Z

## Abstract

Using the two-particle irreducible (2PI) $\\Phi$-functional formalism for self-consistent approximations of a linear-$\\sigma$ model for quarks and mesons in and out of equilibrium, the build-up of fluctuations of net-baryon number during the time evolution of an expanding fireball is studied within a kinetic theory for the order parameter ($\\sigma$ field) and quark distribution functions. Initializing the system with purely Gaussian fluctuations a fourth-order cumulant is temporarily built up due to the evolution of the $\\sigma$-field. This is counterbalanced, however, by the dissipative evolution due to collisions between quarks, anti-quarks, mesons, and the mean field, depending on the speed of the fireball expansion.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2209.05887>)

[PDF](<https://arxiv.org/pdf/2209.05887.pdf>)