The entropic $g$-theorem in general spacetime dimension
High Energy Physics - Theory
2023-03-29 v2
Abstract
We establish the irreversibility of renormalization group flows on a pointlike defect inserted in a -dimensional Lorentzian conformal field theory. We identify the impurity entropy 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 decreases monotonically along renormalization group flows, and provides a clear information-theoretic meaning for this irreversibility.
Cite
@article{arxiv.2212.10575,
title = {The entropic $g$-theorem in general spacetime dimension},
author = {Horacio Casini and Ignacio Salazar Landea and Gonzalo Torroba},
journal= {arXiv preprint arXiv:2212.10575},
year = {2023}
}
Comments
v2: minor corrections, matches published version. 6 pages, 2 figures