Effect of long range correlation on the scaling behaviors of the normalized factorial moments for first-order phase transition

TL;DR

This paper investigates how long-range correlations influence the scaling behavior of normalized factorial moments during a first-order phase transition from quark-gluon plasma to hadrons, using Ginzburg-Landau theory.

Contribution

It introduces an analysis of multiplicity correlations and reveals a universal scaling exponent weakly dependent on transition details.

Findings

Scaling behavior among factorial correlators identified

Universal exponent approximately constant across different conditions

Long-range correlations significantly affect fluctuation patterns

Abstract

Within the framework of Ginzburg-Landau theory, the effect of multiplicity correlation between the dynamical multiplicity fluctuations is analyzed for a first-order phase transition from quark-gluon plasma to hadrons. Normalized factorial correlators are used to study the correlated dynamical fluctuations. A scaling behavior is found among the factorial correlators, and an approximate universal exponent, which is weakly dependent on the details of the phase transition, is obtained.