Entropic g Theorem in General Spacetime Dimensions

Dec 20, 2022
6 pages
Published in:
  • Phys.Rev.Lett. 130 (2023) 11, 111603
  • Published: Mar 17, 2023
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Abstract: (APS)
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.
Note:
  • v2: minor corrections, matches published version. 6 pages, 2 figures
  • renormalization group: flow
  • space-time: dimension
  • field theory: conformal
  • entropy
  • quenching
  • defect
  • surface
  • deformation
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