Dense hadronic matter in holographic QCD

Abstract

We provide a method to study hadronic matter at finite density in the con-text of the Sakai-Sugimoto model. We introduce the baryon chemical potential through the external U(1)v in the induced (DBI plus CS) action on the D8-probe-brane, where baryons are skyrmions. Vector dominance is manifest at finite density. We derive the baryon density effect on the dispersion relations of pion and vector mesons at large Nc. At large density the pion velocity drops to zero. Holographic dense matter enforces exactly the tenets of vector domi-nance, and screens effciently vector mesons. At the freezing point the p-ππ coupling vanishes with a finite rho mass of about 20% its vacuum value.