Configuration entropy of a rotating quark-gluon plasma from holography

TL;DR

This paper investigates how the configuration entropy of a rotating quark-gluon plasma, modeled holographically by a rotating AdS black hole, varies with angular momentum, revealing divergence near the speed of light and implications for plasma stability.

Contribution

It introduces a holographic analysis of the configuration entropy in a rotating plasma, linking black hole geometry changes to plasma stability and dissociation phenomena.

Findings

CE increases with rotational speed v

CE diverges as v approaches the speed of light

Results align with black hole geometry changes and meson dissociation insights

Abstract

The configuration entropy (CE) provides a measure of the stability of physical systems that are spatially localized. An increase in the CE is associated with an increase in the instability of the system. In this work we apply a recently developed holographic description of a rotating plasma, in order to investigate the behaviour of the CE when the plasma has angular momentum. Considering the holographic dual to the plasma, namely a rotating AdS black hole, the CE is computed at different rotational speeds and temperatures. The result obtained shows not only an increase with the rotational speed $ v$ but, in particular, a divergence of the CE as $v$ approaches the speed of light: $\, v \to 1 $. We discuss the results obtained showing that they are consistent with the change in the geometry of the black hole caused by the rotation and the corresponding variation of the volume of the dual plasma. We also connect the results found here with those obtained in a recent work, where it was shown that the complete dissociation of heavy mesons in a plasma is represented by a positive singularity in the CE.