论文标题
具有非线性电动力学和带电的Renyi熵的黑洞的热波动
Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy
论文作者
论文摘要
我们将带电的Renyi熵扩展到更一般的全息图。将任意的非线性电动力学拉格朗日密度耦合到ADS重力，我们分析了非线性带电双曲线黑洞的热力学特征和大规范合奏中的热波动。我们为相关全息量提供了一种通用形式，该全息量描述了具有全局$ u（1）$对称性的CFT，并计算了带电的Renyi熵的第一个热波动。我们通过一个分析示例证明了公式的有效性。库仑源为$ 2+1 $尺寸。我们建议该模型以$ 1+1 $尺寸为单位为双玻色子。校正在纠缠熵中产生了跨斜向的对数差异，该熵出现在一些凝结物质系统中，由于基态下的IR效应而引起的自发对称性破坏。我们评论有可能根据鞍点近似超出全息图来解释这些结果的可能性。
We extend the charged Renyi entropy to a more general holographic scenario. Coupling an arbitrary non-linear electrodynamics Lagrangian density to AdS gravity, we analyse the thermodynamic features of non-linearly charged hyperbolic black holes and the thermal fluctuations in the grand canonical ensemble. We provide a general form for the relevant holographic quantities that describes a CFT with a global $U(1)$ symmetry in terms of horizon data and we compute the first thermal fluctuation of the charged Renyi entropy. We demonstrate the validity of the formulae through an analytic example; the Coulomb source in $2+1$ dimensions. We propose this model to be dual to charged free bosons in $1+1$ dimensions. The corrections generates a subleading logarithmic divergence in the entanglement entropy which appear in some Condensed Matter systems with spontaneous symmetry breaking due to IR effects in the ground state. We comment on the possibility of interpreting these results in terms of holography beyond the saddle point approximation.
