Universal terms for holographic entanglement entropy in noncommutative Yang--Mills theory

TL;DR

This paper investigates the universal, cut-off-independent part of holographic entanglement entropy in noncommutative Yang-Mills theory, revealing drastic changes in behavior with varying noncommutativity and temperature, and modifications to fundamental inequalities.

Contribution

It derives the universal entanglement entropy in noncommutative Yang-Mills theory and analyzes its properties across different noncommutativity regimes and temperature conditions.

Findings

Entanglement entropy behavior varies significantly with noncommutativity scale.

Modified strong subadditivity inequality at large noncommutativity.

Identified a phase transition in entanglement entropy at finite temperature.

Abstract

In this paper, we derive the universal (cut-off-independent) part of the holographic entanglement entropy in the noncommutative Yang-Mills theory and examine its properties in detail. The behavior of the holographic entanglement entropy as a function of a scale of the system changes drastically between large noncommutativity and small noncommutativity. The strong subadditivity inequality for the entanglement entropies in the noncommutative Yang-Mills theory is modified in large noncommutativity. The behavior of entropic $c$-function defined by means of the entanglement entropy also changes drastically between large noncommutativity and small noncommutativity. In addition, there is a transition for the entanglement entropy in the noncommutative Yang-Mills theory at finite temperature.