Entanglement Entropy of the Klebanov-Strassler with dynamical flavors

TL;DR

This paper investigates how entanglement entropy behaves in the Klebanov-Strassler background with dynamical flavors, revealing phase transitions and critical phenomena influenced by flavor mass and scale competition.

Contribution

It provides a detailed analysis of entanglement entropy in flavored confining backgrounds, identifying phase transitions and critical exponents that differ from mean field theory.

Findings

Entropy exhibits first order phase transitions with massive flavors.

A critical point where a phase transition becomes second order is identified.

Critical exponents are universal and differ from mean field predictions.

Abstract

We present a detailed study of the Entanglement Entropy for the confining Klebanov-Strassler background coupled to a large number of dynamical flavors in the Veneziano limit. As we vary the number of the massless flavors the behavior of the entropy strongly depends on the way we fix the integration constant of the warp factor, that is related to the glueball scale. In the case of massive flavors, the mass of the flavor branes introduces another scale in the background and the entropy undergoes two first order phase transitions. The competition between the glueball and the quark scales will lead to a critical point where one of the phase transitions degenerates to a second order one. We have calculated the critical exponents and have found that they are independent of the number of flavors and different from the mean filed theory expectations.