A non-homogeneous ground state of the low-temperature Sakai-Sugimoto model

TL;DR

This paper investigates the instability of the low-temperature QCD vacuum with an axial chemical potential using the Sakai-Sugimoto holographic model, revealing a non-homogeneous ground state.

Contribution

It explicitly constructs a translationally non-invariant ground state of the theory, demonstrating a novel phase at large-N_c under axial chemical potential.

Findings

Identifies instability of the homogeneous vacuum at large-N_c.

Constructs a non-homogeneous ground state solution.

Shows phase transition to a non-uniform configuration.

Abstract

We study the instability of the low-temperature QCD vacuum at large-N_c due to an axial chemical potential, using the holographic Sakai-Sugimoto model. We explicitly construct the ground state of the theory, which corresponds to a translationally non-invariant configuration.