Entropic g Theorem in General Spacetime Dimensions

We establish the irreversibility of renormalization group flows on a pointlike defect inserted in a d-dimensional Lorentzian conformal field theory. We identify the impurity entropy g with the quantum relative entropy in two equivalent ways. One involves a null deformation of the Cauchy surface, and...

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Bibliographic Details
Published in:Physical review letters 2023-03, Vol.130 (11), p.111603-111603, Article 111603
Main Authors: Casini, Horacio, Landea, Ignacio Salazar, Torroba, Gonzalo
Format: Article
Language:English
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Summary:We establish the irreversibility of renormalization group flows on a pointlike defect inserted in a d-dimensional Lorentzian conformal field theory. We identify the impurity entropy g with the quantum relative entropy in two equivalent ways. One involves a null deformation of the Cauchy surface, and the other is given in terms of a local quench protocol. Positivity and monotonicity of the relative entropy imply that g decreases monotonically along renormalization group flows, and provides a clear information-theoretic meaning for this irreversibility.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.130.111603