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arXiv 1407.2891hep-th
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纠缠熵、平面和谱函数

Entanglement entropy, planar surfaces, and spectral functions

Vladimir Rosenhaus, Michael Smolkin

摘要:

在平坦空间中,我们考虑了量子场论中平面上的纠缠熵的普适部分,给出了一个谱函数的非微扰表达式。我们研究了在相应的算符作用下纠缠熵的变化,给出了一个微扰展开式,其中的项是未变形理论中的关联函数。自由大质量费米子和纯量的纠缠熵很容易随之而来。最后,我们研究了纠缠熵在一个平面上的背景几何,这是一个变形的平坦空间,发现新的通用条款所产生的混合几何和耦合的QFT。

英文摘要:

We consider the universal part of entanglement entropy across a plane in flat space for a QFT, giving a non-perturbative expression in terms of a spectral function. We study the change in entanglement entropy under a deformation by a relevant operator, providing a pertrubative expansion where the terms are correlation functions in the undeformed theory. The entanglement entropy for free massive fermions and scalars easily follows. Finally, we study entanglement entropy across a plane in a background geometry that is a deformation of flat space, finding new universal terms arising from mixing of geometry and couplings of the QFT.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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