On holographic phase transitions at finite chemical potential

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages, 16 figures; reference added

Scientific paper

10.1088/1126-6708/2007/11/098

Recent Holographic studies have shown that N=4 super Yang-Mills theory coupled to fundamental matter with finite chemical potential undergoes a first order phase transition. In this paper, we study Nf D6 probe branes with or without electric field on it in the black D4 brane background compactified on a circle with supersymmetry breaking boundary condition. At energy scales much lower than the compactification scale, the dual gauge theory is effectively four dimensional non-supersymmetric SU(Nc) Yang-Mills theory coupled to fundamental matter with or without baryon number charge. Within the supergravity approximation, the decoupling of the Kaluza-Klein modes is not fully realized. For chemical potential muNcMq there is no phase transition and mesons are unstable. A peculiar and interesting property of this system is that for a certain range of chemical potential mu

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