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arXiv 1907.01546hep-th
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全息纠缠熵对各向异性RG流的约束

Constraints on anisotropic RG flows from holographic entanglement entropy

Mostafa Ghasemi, Shahrokh Parvizi

摘要:

在规范/引力对偶的背景下,使用所提出的候选$c$ -函数,这是来自一个条形区域的纠缠熵,我们调查的RG流的$d+1$维量子场论与打破洛伦兹和旋转对称性的IR,但保留共形不变性在UV边界。通过零能量条件的约束,我们研究了全息各向异性理论的$c$ -函数的单调性条件。我们考虑近紫外和红外的行为,并确定的充分条件,保证$c$功能单调下降沿RG流。

英文摘要:

In the context of the gauge/gravity duality, using the proposed candidate $c$-function, which is derived from the entanglement entropy of a strip-shaped region, we investigate the RG flow for $d+1$-dimensional quantum field theories with broken Lorentz and rotational symmetries in the IR, but preserved conformal invariance in the UV boundary. We examine conditions of monotonicity of the $c$-function for holographic anisotropic theories dual to the Einstein gravity via the constraints imposed by the null energy conditions. We consider near UV and IR behaviors and identify the sufficient conditions that guarantee the $c$ function decreases monotonically along the RG flows.

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