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The entropic $g$-theorem in general spacetime dimension
- Publication Year :
- 2022
-
Abstract
- 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.<br />Comment: v2: minor corrections, matches published version. 6 pages, 2 figures
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2212.10575
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevLett.130.111603