Dynamical Instability of Holographic QCD at Finite Density

Understand

In this paper we study the dynamical instability of Sakai-Sugimoto's holographic QCD model at finite baryon density.

• In this model, the baryon density, represented by the smeared instanton on the worldvolume of the probe D8-\overline{D8} mesonic brane, sources the worldvolume electric field, and through the Chern-Simons term it will induces the instability to form a chiral helical wave.
• This is similar to Deryagin-Grigoriev-Rubakov instability to form the chiral density wave for large N_c QCD at finite density.
• Our results show that this kind of instability occurs for sufficiently high baryon number densities.