论文标题
沿重新归一化的曲线曲率
Ruppeiner curvature along a renormalization group flow
论文作者
论文摘要
我们报告了$（D+1）$ R_U $ $ R_U $的调查 - 抗DE安静的空间中的尺寸双曲线黑洞及其与Minkowski spetimes中双D- d-di-digensional Conformal Field Theories（CFTS）中的重新规范化组（RG）流的联系。发现了微观结构之间的排斥类型相互作用，在低温下，对于正质量黑洞的质量较弱，对于负质量黑孔而增强。特别是，我们表明沿零质量曲线评估的$ R_U $是一个通用常数，仅取决于时空的维度。指出，极端黑洞的曲率是正面的，无论其地平线拓扑如何。
We report on an investigation of Ruppeiner curvature $R_U$ for $(d+1)$-dimensional hyperbolic black holes in anti-de Sitter spacetimes and its connection with Renormalization Group (RG) flows in the dual d-dimensional conformal field theories (CFTs) in Minkowski spacetimes. A repulsive type interaction among microstructures is found, which is weaker for positive mass black holes and grows stronger for negative mass black holes at low temperatures. In particular, we show that $R_U$ evaluated along a zero mass curve is a universal constant, depending only on the dimension of space-time. The extremal black holes are pointed out to have a positive Ruppeiner curvature irrespective of their horizon topology.
