The chiral symmetry breaking (chi sb) is one of the most fundamental problems in QCD. In this paper, we calculate quark condensation analytically in a holographic QCD model dual to the Einstein-Maxwell-Dilaton (EMD) system coupled to a probe scalar field. We find that the black hole phase transition in the EMD system seriously affects chi sb. At small chemical potential, chi sb behaves as a crossover. For large chemical potential mu > mu (c), chi sb becomes first order with exactly the same transition temperature as the black hole phase transition by a bypass mechanism. The phase diagram we obtained is qualitatively consistent with the recent results from lattice QCD simulations and NJL models.
- AdS-CFT Correspondence
- Duality in Gauge Field Theories
- Phase Diagram of QCD