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arXiv · 0711.0407

On holographic phase transitions at finite chemical potential

Shunji Matsuura
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Abstract

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 mu NcMq 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<NcMq, a new phase transition appears in the unstable meson phase. This phase transition is characterized by a discontinuous change of unstable meson lifetime.

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Shunji Matsuura. 2007-12-20. On holographic phase transitions at finite chemical potential. https://doi.org/10.1088/1126-6708%2F2007%2F11%2F098

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