Chemical Potential Effects on Chiral Phase Transition in AdS/QCD

The anti-de Sitter/conformal field theory (AdS/CFT) correspondence may provide useful insights into the QCD phase diagram, particularly at finite baryon chemical potential, a regime inaccessible to lattice QCD. We present a phenomenological model for the chiral phase transition based on this duality. In these models, an AdS black hole is dual to the thermodynamic properties of the quark-gluon plasma. At zero chemical potential, we reproduce the Columbia Plot, which maps the order of the chiral phase transition as a function of light and strange quark masses. We then extend this AdS/QCD model to finite chemical potential using a charged black hole. Using the simplest charged black hole metric, the chemical potential does not affect the order of the phase transition, excluding the possibility of a critical point. We also discuss methods for introducing a critical point in this type of model.