# Holographic QCD with Topologically Charged Domain-Wall-Membranes - High Energy Physics - Theory

Abstract: We study the thermodynamical phase structures of holographic QCD withnontrivial topologically charged domain-wall-membranes which are originallyrelated to the multiple $\theta$-vacua in the large $N c$ limit. We realize thetopologically charged membranes as the holographic D6-brane fluxes in theSakai-Sugimoto model. The D6-brane fluxes couple to the probe D8-anti-D8 viaChern-Simon term, and act as the source for the baryonic current density ofQCD. We find rich phase structures of the dual meson system by varyingasymptotic separation of D8 and anti-D8. Especially, there can be athermodynamically favored and stable phase of finite baryonic current density.This provides the supporting evidence for the discovery of the topologicallycharged membranes found in the lattice QCD calculations. We also find acrossover phase with the limiting baryonic current density and temperaturewhich suggest a Hagedorn-like phase transition of meson dissociation.

Author: Feng-Li Lin, Shang-Yu Wu

Source: https://arxiv.org/