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arXiv · 1506.06195

Mutual information and the F-theorem

Horacio Casini·Marina Huerta·Robert C. Myers·Alexandre Yale
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Abstract

Mutual information is used as a purely geometrical regularization of entanglement entropy applicable to any QFT. A coefficient in the mutual information between concentric circular entangling surfaces gives a precise universal prescription for the monotonous quantity in the c-theorem for d=3. This is in principle computable using any regularization for the entropy, and in particular is a definition suitable for lattice models. We rederive the proof of the c-theorem for d=3 in terms of mutual information, and check our arguments with holographic entanglement entropy, a free scalar field, and an extensive mutual information model.

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Horacio Casini, Marina Huerta, Robert C. Myers, Alexandre Yale. 2015-06-20. Mutual information and the F-theorem. https://arxiv.org/abs/1506.06195

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