Holographic phase transitions at finite chemical potential
Holographic phase transitions at finite chemical potential
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DOI：
10.1088/1126-6708/2007/11/085
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发表时间：
2007-09
影响因子：
5.4
通讯作者：
D. Mateos;S. Matsuura;R. Myers;R. Thomson
中科院分区：
文献类型：
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作者：
D. Mateos;S. Matsuura;R. Myers;R. Thomson
最近的全息研究表明，与有限化学势的基物质耦合的N=4超杨-米尔斯理论经历了一级相变。在本文中，我们研究了在超对称破缺边界条件下致密的黑色D4膜背景下，带电场和不带电场的NFD6探针膜。在比紧致尺度低得多的能量尺度下，双规范理论实际上是四维非超对称的SU(NC)Yang-Mills理论，耦合到有或没有重子数电荷的基物质。在超引力近似下，Kaluza-Klein模的去耦合还没有完全实现。对于化学势μb NcMq，没有相变，介子是不稳定的。该系统的一个特殊而有趣的性质是，对于一定的化学势μb<；NcMq，在不稳定的介子相中出现新的相变。这种相变的特征是不稳定介子寿命的不连续变化。
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 μb 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 μb<NcMq, a new phase transition appears in the unstable meson phase. This phase transition is characterized by a discontinuous change of unstable meson lifetime.