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Large distance expansion of Mutual Information for disjoint disks in a free scalar theory

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arxiv 1505.03757 v2 pith:CM2LZAKS submitted 2015-05-14 hep-th

classification hep-th
keywords disjointdisksdistanceexpansionfreeinformationmutualnext-to-leading
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the next-to-leading order term in the long-distance expansion of the mutual information for free scalars in three space-time dimensions. The geometry considered is two disjoint disks separated by a distance $r$ between their centers. No evidence for non-analyticity in the R\'enyi parameter $n$ for the continuation $n \rightarrow 1$ in the next-to-leading order term is found.

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