Chiral symmetry of SYM theory in hyperbolic space at finite temperature
Chiral symmetry of SYM theory in hyperbolic space at finite temperature
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有限温度双曲空间SYM理论的手性对称性
DOI：
10.1103/physrevd.92.026011
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发表时间：
2015
影响因子：
5
通讯作者：
Fumihiko Toyoda
中科院分区：
文献类型：
--
作者：
Kazuo Ghoroku;Masafumi Ishihara;Motoi Tachibana;Fumihiko Toyoda
我们研究了一个存在于有限温度时空中的全息规范理论。引力对偶是IIB超弦理论的解，它具有两个自由参数，分别对应于四维宇宙学常数（）和暗辐射（）.本文所研究的理论是在束缚态和手征对称性破缺相下，对于和小的.当增加时，在有限的值处观察到向解除禁闭相的转变。结果表明，在解禁闭阶段，手征对称性在有限的范围内仍然是破缺的。换句话说，手性相变发生在比解除禁闭相变更大的值。因此，存在一个新的手征对称性破缺的解除禁闭相的参数范围。为了研究这个相的性质，我们用D7膜作探测器，对介子的质量谱和其它物理量进行了全息分析。的结果进行了比较与线性西格玛模型。此外，纠缠熵的检查，寻找手征相变的迹象。对这些分析提出了几点意见。
We study a holographic gauge theory living in thespace-time at finite temperature. The gravity dual is obtained as a solution of the type IIB superstring theory with two free parameters, which correspond to four-dimensional cosmological constant () and the dark radiation () respectively. The theory studied here is in the confining and chiral symmetry broken phase forand small. Whenis increased, the transition to the deconfinement phase has been observed at a finite value of. It is shown here that the chiral symmetry is still broken for a finite range ofin the deconfinement phase. In other words, the chiral phase transition occurs at a larger value ofthan that of the deconfinement transition. So there is a parameter range of a new deconfinement phase with broken chiral symmetry. In order to study the properties of this phase, we performed a holographic analysis for the meson mass spectrum and other quantities in terms of the probe D7 brane. The results are compared with a linear sigma model. Furthermore, the entanglement entropy is examined to search for a sign of the chiral phase transition. Several comments are given for these analyses.