Boltzmann-Langevin Approach to Pre-equilibrium Correlations in Nuclear Collisions

TL;DR

This paper develops a Boltzmann-Langevin kinetic framework to analyze pre-equilibrium correlations in nuclear collisions, providing a new equation to study how thermalization influences observable long-range correlations.

Contribution

It introduces a novel partial differential equation for two-particle correlations derived from a Boltzmann-Langevin approach, respecting conservation laws.

Findings

Derived a new PDE for correlation functions

Demonstrated the impact of thermalization on correlations

Provides a tool for analyzing pre-equilibrium signals

Abstract

Correlations born before the onset of hydrodynamic flow can leave observable traces on the final state particles. Measurement of these correlations can yield important information on the isotropization and thermalization process. Starting from a Boltzmann-like kinetic theory in the presence of dynamic Langevin noise, we derive a new partial differential equation for the two-particle correlation function that respects the microscopic conservation laws. We illustrate how this equation can be used to study the effect of thermalization on long range correlations.