Quantum correlation in quark-gluon medium

TL;DR

This paper investigates quantum correlations and thermodynamics in a quark-gluon medium using holography, revealing a universal entanglement entropy law at high quark density and analyzing phase transitions and correlation behaviors.

Contribution

It introduces a novel universality of the entanglement entropy first law at high quark density and explores the effects of the medium on phase transitions and correlation functions.

Findings

Universal entanglement entropy first law at high quark density

Correlation functions decrease with increasing entanglement entropy due to screening

Critical length from mutual information correlates with two-point function length in IR

Abstract

We study thermodynamics and quantum correlations of the string cloud geometry whose field theory dual is the quark-gluon medium. We found the novel universality of the entanglement entropy first law in the high quark density limit. We also showed that a correlation function generally decreases as the entanglement entropy of the background medium increases due to the screening effect of the background. We study the UV and IR effects of the medium on phase transition behaviour observed in the holographic mutual information using both perturbative and numerical computations. Moreover, by numerical computation, we show that in the IR region the critical length obtained from the mutual information behaves similar to the correlation length of the two-point function.