PIRSA:15100030

Video URL

https://pirsa.org/15100030

Renormalization group flow of entanglement entropy on spheres

Ben-Ami, O. (2015). Renormalization group flow of entanglement entropy on spheres. Perimeter Institute for Theoretical Physics. https://pirsa.org/15100030

Ben-Ami, Omer. Renormalization group flow of entanglement entropy on spheres. Perimeter Institute for Theoretical Physics, Oct. 20, 2015, https://pirsa.org/15100030 

          @misc{ scivideos_PIRSA:15100030,
            doi = {10.48660/15100030},
            url = {https://pirsa.org/15100030},
            author = {Ben-Ami, Omer},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Renormalization group flow of entanglement entropy on spheres},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2015},
            month = {oct},
            note = {PIRSA:15100030 see, \url{https://scivideos.org/pirsa/15100030}}
          }

Omer Ben-Ami Tel Aviv University - School of Physics and Astronomy

Talk numberPIRSA:15100030
DOI10.48660/15100030
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

I will describe entanglement entropy of a cap-like region for a generic quantum field theory residing in the Bunch-Davies vacuum on de Sitter space. Entanglement entropy in this setup is identical with the thermal entropy in the static patch of de Sitter, and it is possible to derive a simple relation between the vacuum expectation value of the energy-momentum tensor trace and the RG flow of entanglement entropy. In particular, renormalization of the cosmological constant and logarithmic divergence of the entanglement entropy are interrelated in this setup. These findings are confirmed by recovering known universal contributions for a free field theory deformed by a mass operator as well as correct universal behaviour at the fixed points. In three dimensions the renormalized entanglement entropy is stationary at the fixed points but not monotonic. Computational evidence that the universal `area law' for a conformally coupled scalar is different from the known result in the literature will be given, and I will argue that this difference survives in the limit of flat space.