Mutual information and the F-theorem

By H. Casini, M. Huerta, R. Myers, A. Yale. 2015

164 citations recorded by the source corpus.

A bstractMutual 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a5d14a11374b3b624d41d2bd6a3d12c1d607c630

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Citations in the corpus

A general proof of the quantum null energy condition (2017, background): “are anyway local to the entangling surface and so could be removed in another regulator using appropriate counter terms. This is to be compared and contrasted with the mutual information regulator of [117]. There are several questions that arise now relating to the properties of this putative EE. We”
Islands in cosmology (2020, background): “With these choices the quantity Imat(I,R ′) is the mutual information regulator for entanglement entropy introduced in [48].”
Shape dependence of entanglement entropy in conformal field theories (2015, background): “3 Note that (19) is true (even for the UV divergent terms) if we use a “covariant” regulator to define EE [38–40].”
Entanglement entropy: Holography and renormalization group (2018, methodology): “(111) 8 We may use a non-minimally coupled scalar field with a term Rφ2 in the action, but the result is the same as the minimally coupled case (Casini et al., 2015b; Herzog and Nishioka, 2016).”
Modular Hamiltonians for deformed half-spaces and the averaged null energy condition (2016, background): “(24)For a recent discussion of some of the issues involved see [72,75].”