Numerical study of entanglement entropy in SU(2) lattice gauge theory
Numerical study of entanglement entropy in SU(2) lattice gauge theory
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SU(2)晶格规范理论中纠缠熵的数值研究
DOI：
10.1016/j.nuclphysb.2008.04.024
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
M. Polikarpov
中科院分区：
文献类型：
--
作者：
P. Buividovich;P. Buividovich;M. Polikarpov
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。我们发现一个签名的纠缠熵，这是最近预测的大Ncconfining规范理论的框架中的AdS/CFT对应的非分析行为。纠缠熵对l的导数在某个l=lc处可能具有不连续性。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禁闭相变的温度。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-2。
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 Ncconfining 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=lc. 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 l−2at small distances.