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

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 Rényi parameter $n$ for the continuation $n\to 1$ in the next-to-leading order term is found.

15 pages, This version contains few extra references, some technical material has been move to appendices, and other minor modifications to match with the version accepted for publication

References in corpus (3)

• Entanglement entropy of two disjoint intervals in conformal field theory II
• Quantum Corrections to Holographic Mutual Information
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$

Cited by in corpus (12)

• A General Proof of the Quantum Null Energy Condition
• Entanglement entropy of two disjoint intervals and the recursion formula for conformal blocks
• Tripartite information at long distances
• Mutual information superadditivity and unitarity bounds
• On the Mutual Information in Conformal Field Theory
• Rényi Mutual Information for Free Scalar in Even Dimensions
• Aspects of N-partite information in conformal field theories
• Universality in the tripartite information after global quenches: (generalised) quantum XY models
• Aspects of quantum information in finite density field theory
• Direct Calculation of Mutual Information of Distant Regions
• Holographic Mutual Information of Two Disjoint Spheres
• Mutual information from modular flow in CFTs