Dense hadronic matter in holographic QCD

We provide a method to study hadronic matter at finite density in the context of the Sakai-Sugimoto model. We introduce the baryon chemical potential through the external U(1) (v) gauge field 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 effect of the baryon density on the energy density, and on the dispersion relations of pions and vector mesons at large N (c) . The energy density asymptotes are constant at large density, suggesting that dense matter at large N (c) freezes, with the pion velocity dropping to zero. Holographic dense matter enforces exactly the tenets of vector dominance and efficiently screens vector mesons. At the freezing point, the rho - pi pi coupling vanishes with a finite rho mass of about 20% its vacuum value.The work of KYK and IZ was supported in part by US-Department of Energy grants DE-FG02-88ER40388 and DE-FG03-97ER4014. KYK was also supported by Gwangju Institute of Science and Technology (GIST) College's 2013 GUP Research Fund. The work of SJS was supported by Korea Science and Engineering Foundation (KOSEF) Grant grant number 201300000001340 and by Scientific Research Center (SRC) Program of the KOSEF with grant number R11 - 2005 - 021