D3/D7 holographic gauge theory and chemical potential
D3/D7 holographic gauge theory and chemical potential
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DOI：
10.1103/physrevd.76.124006
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发表时间：
2007-08
影响因子：
5
通讯作者：
K. Ghoroku;M. Ishihara;A. Nakamura
中科院分区：
文献类型：
--
作者：
K. Ghoroku;M. Ishihara;A. Nakamura
在具有非平凡膨胀和轴子的对偶超重力背景下，研究了有限温度和dS{sub 4}空间中有限夸克数密度（N {sub b}）的N=2带flavor超多重态的超对称Yang-Mills理论。通过嵌入探针D7膜引入了夸克及其数密度n{下标b}。我们发现了n{sub b}=0时化学势的一个临界值，它与n{sub b}=0时各理论给出的有效夸克质量一致。此时，在它们的两个典型嵌入配置之间发生D7嵌入配置的转换。这一转变的相图分别显示在有限温度和dS{sub 4}的杨-米尔斯理论的化学势-温度平面和宇宙常数平面上。在这个相变中，序参量被认为是n{下标b}。这个结果似乎是合理的，因为两种理论都处于夸克解定义阶段。
N=2 supersymmetric Yang-Mills theory with flavor hypermultiplets at finite temperature and in the dS{sub 4} space is studied for finite quark number density (n{sub b}) by a dual supergravity background with nontrivial dilaton and axion. The quarks and their number density n{sub b} are introduced by embedding a probe D7 brane. We find a critical value of the chemical potential at the limit of n{sub b}=0, and it coincides with the effective quark mass given in each theory for n{sub b}=0. At this point, a transition of the D7 embedding configurations occurs between their two typical ones. The phase diagrams of this transition are shown in the plane of chemical potential versus temperature and cosmological constant for Yang-Mills theory at finite temperature and in dS{sub 4}, respectively. In this phase transition, the order parameter is considered as n{sub b}. This result seems to be reasonable since both theories are in the quark deconfinement phase.