PIRSA:16020011

Entanglement entropy in conformal perturbation theory and the Einstein equation

Speranza, A. (2016). Entanglement entropy in conformal perturbation theory and the Einstein equation. Perimeter Institute. https://pirsa.org/16020011

Speranza, Antony. Entanglement entropy in conformal perturbation theory and the Einstein equation. Perimeter Institute, Feb. 02, 2016, https://pirsa.org/16020011 

          @misc{ pirsa_PIRSA:16020011,
            doi = {10.48660/16020011},
            url = {https://pirsa.org/16020011},
            author = {Speranza, Antony},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Entanglement entropy in conformal perturbation theory and the Einstein equation},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {feb},
            note = {PIRSA:16020011 see, \url{https://pirsa.org}}
          }

Antony Speranza University of Illinois Urbana-Champaign

DOI 10.48660/16020011
Collection
Talk Type Scientific Series
Subject

Abstract

For a CFT perturbed by a relevant operator, the entanglement entropy of a spherical region may be computed as a perturbative expansion in the coupling.  A similar perturbative expansion applies for excited states near the vacuum.  I will describe a method due to Faulkner for calculating these entanglement entropies, and apply it in the limit of small sphere size.  The motivation for these calculations is a recent proposal by Jacobson suggesting an equivalence between the Einstein equation and the "maximal vacuum entanglement hypothesis" for quantum gravity.  This proposal relies on a conjecture about the behavior of entanglement entropies for small spheres.  The calculations presented here suggest that this conjecture must be modified, but I will discuss how Jacobson's derivation still applies under the modified conjecture.