The gravity duals of modular Hamiltonians
The gravity duals of modular Hamiltonians
复制标题
模哈密顿量的引力对偶
DOI：
10.1007/jhep09(2016)068
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发表时间：
2014
影响因子：
5.4
通讯作者：
S. J. Suh
中科院分区：
文献类型：
--
作者：
D. Jafferis;S. J. Suh
摘要在这项工作中，我们研究了针对具有半经典引力对偶的量子场论状态中的任意空间区域定义的模哈密顿量。我们在引力对偶中找到了计算模哈密顿量对其定义状态（包括其对偶度量）以及状态周围的小激励的作用的规定。奇怪的是，协变全息纠缠熵公式的使用使我们得出这样的结论：在量子场论中，模哈密顿量仅在区域的因果完备性中起作用，并且不能与体算子交换，体算子的整个规范不变描述对于区域的因果完备性来说是类空间的。
A bstractIn this work, we investigate modular Hamiltonians defined with respect to arbitrary spatial regions in quantum field theory states which have semi-classical gravity duals. We find prescriptions in the gravity dual for calculating the action of the modular Hamiltonian on its defining state, including its dual metric, and also on small excitations around the state. Curiously, use of the covariant holographic entanglement entropy formula leads us to the conclusion that the modular Hamiltonian, which in the quantum field theory acts only in the causal completion of the region, does not commute with bulk operators whose entire gauge-invariant description is space-like to the causal completion of the region.