PIRSA:16020011

Entanglement entropy in conformal perturbation theory and the Einstein equation

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2016},
            month = {feb},
            note = {PIRSA:16020011 see, \url{https://scivideos.org/index.php/pirsa/16020011}}
          }
          
Talk numberPIRSA:16020011
Source RepositoryPIRSA

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.