Holographic phases of Rényi entropies
Holographic phases of Rényi entropies
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DOI：
10.1007/jhep12(2013)050
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发表时间：
2013-06
影响因子：
5.4
通讯作者：
Alexandre Belin;A. Maloney;S. Matsuura
中科院分区：
文献类型：
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作者：
Alexandre Belin;A. Maloney;S. Matsuura
我们考虑了平面空间中共形场理论的Rényi熵，纠缠面为球面。ADS/CFT对应将这种Rényi熵与具有双曲视界的黑洞的Rényi熵联系起来；随着Rényi参数n的增加，黑洞的温度降低。如果CFT具有足够低维的标量算符，黑洞对毛发的发展将是不稳定的。因此，当n变化时，Rényi熵将在一个临界值n处发生相变。相变的位置以及约化密度矩阵ρ的谱取决于理论中最低维非平凡标量算符的维度。
We consider Rényi entropiesof conformal field theories in flat space, with the entangling surface being a sphere. The AdS/CFT correspondence relates this Rényi entropy to that of a black hole with hyperbolic horizon; as the Rényi parameter n increases the temperature of the black hole decreases. If the CFT possesses a sufficiently low dimension scalar operator the black hole will be unstable to the development of hair. Thus, as n is varied, the Rényi entropies will exhibit a phase transition at a critical value of n. The location of the phase transition, along with the spectrum of the reduced density matrix ρ, depends on the dimension of the lowest dimension non-trivial scalar operator in the theory.