SU纠缠熵的数值研究（2）格点规范理论
Numerical study of entanglement entropy in SU(2) lattice gauge theory
摘要：
在四维SU（2）格点规范理论下，数值研究了厚度为l的三维平板与其互补体之间的纠缠熵。我们发现了最近在AdS/CFT对应框架下对大N_c约束规范理论预言的纠缠熵的非解析行为的特征。纠缠熵对l的导数可能在某个l = l_c处具有不连续性。有人认为，这种行为持续存在，即使在有限的温度下，可能变成一种交叉的温度大于解除相变的温度。我们还证实了纠缠熵包含二次发散的l-独立项，并且在小距离处非发散项表现为l的平方反比。
英文摘要：
The entropy of entanglement between a three-dimensional slab of thickness l and its complement is studied numerically for four-dimensional SU(2) lattice gauge theory. We find a signature of a nonanalytic behavior of the entanglement entropy, which was predicted recently for large N_c confining gauge theories in the framework of AdS/CFT correspondence. The derivative of the entanglement entropy over l is likely to have a discontinuity at some l = l_c. It is argued that such behavior persists even at finite temperatures, probably turning into a sort of crossover for temperatures larger than the temperature of the deconfinement phase transition. We also confirm that the entanglement entropy contains quadratically divergent l-independent term, and that the nondivergent terms behave as the inverse square of l at small distances.
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