Multiplicity Fluctuations and Correlations in Limited Momentum Space Bins in Relativistic Gases

TL;DR

This paper investigates how multiplicity fluctuations and correlations in relativistic gases depend on statistical ensembles, acceptance windows, and conservation laws, revealing non-trivial correlations even without dynamics.

Contribution

It demonstrates the impact of ensemble choice, acceptance window, and conservation laws on fluctuations and correlations in relativistic gases, highlighting non-trivial effects.

Findings

Fluctuations depend on statistical ensemble and momentum space acceptance.

Global conservation laws induce correlations between disconnected regions.

Non-trivial correlations exist even without dynamical interactions.

Abstract

Multiplicity fluctuations and correlations are calculated within thermalized relativistic ideal quantum gases. These are shown to be sensitive to the choice of statistical ensemble as well as to the choice of acceptance window in momentum space. It is furthermore shown that global conservation laws introduce non-trivial correlations between disconnected regions in momentum space, even in the absence of any dynamics.