A New Phase at a Finite Quark Density from AdS/CFT

Abstract
We explore the phases of the ${cal N}=2$ super Yang-Mills theory at a finite quark density by introducing a quark chemical potential in a D3-D7 setup. We formulate the thermodynamics of brane embeddings and we find that the density versus chemical potential equation of state has a rich structure. This yields {em two} distinct first-order phase transitions in a small window of the quark density. In other words, there is a new first-order phase transition in the region of deconfined quarks. In this new phase, the chemical potential is a decreasing function of the density. We suggest that this might be relevant to the difference in the sQGP-wQGP phases of QCD.
Keywords: Finite temperature, Finite density, AdS/CFT, Holographic QCD

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