Hydrodynamics of Sakai-Sugimoto model in the quenched approximation

TL;DR

This paper analyzes the transport properties of the Sakai-Sugimoto model at finite temperature, focusing on the speed of sound and sound attenuation, within the quenched approximation, revealing no signatures of phase transitions in these properties.

Contribution

It provides analytical calculations of sound speed and attenuation in the Sakai-Sugimoto model, highlighting their behavior across phase transitions in the quenched approximation.

Findings

Calculated the speed of sound in the model.

Determined sound wave attenuation coefficients.

Found no signatures of phase transitions in transport properties.

Abstract

We study transport properties of the finite temperature Sakai-Sugimoto model. The model represents a holographic dual to 4+1 dimensional supersymmetric SU(N_c) gauge theory compactified on a circle with anti-periodic boundary conditions for fermions, coupled to N_f left-handed quarks and N_f right-handed quarks localized at different points on the compact circle. We analytically compute the speed of sound and the sound wave attenuation in the quenched approximation. Since confinement/deconfinement (and the chiral symmetry restoration) phase transitions are first order in this model, we do not see any signature of these phase transitions in the transport properties.