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Markov Property of the Conformal Field Theory Vacuum and the a Theorem

Horacio Casini, Eduardo Testé, and Gonzalo Torroba
Phys. Rev. Lett. 118, 261602 – Published 30 June 2017

Abstract

We use strong subadditivity of entanglement entropy, Lorentz invariance, and the Markov property of the vacuum state of a conformal field theory to give new proof of the irreversibility of the renormalization group in d=4 space-time dimensions—the a theorem. This extends the proofs of the c and F theorems in dimensions d=2 and d=3 based on vacuum entanglement entropy, and gives a unified picture of all known irreversibility theorems in relativistic quantum field theory.

  • Figure
  • Received 24 April 2017

DOI:https://doi.org/10.1103/PhysRevLett.118.261602

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsQuantum Information, Science & Technology

Authors & Affiliations

Horacio Casini, Eduardo Testé, and Gonzalo Torroba

  • Centro Atómico Bariloche and CONICET, S.C. de Bariloche, Río Negro R8402AGP, Argentina

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Issue

Vol. 118, Iss. 26 — 30 June 2017

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