PIRSA:15080070

Area terms in entanglement entropy

Casini, H. (2015). Area terms in entanglement entropy. Perimeter Institute. https://pirsa.org/15080070

Casini, Horacio. Area terms in entanglement entropy. Perimeter Institute, Aug. 19, 2015, https://pirsa.org/15080070 

          @misc{ pirsa_PIRSA:15080070,
            doi = {10.48660/15080070},
            url = {https://pirsa.org/15080070},
            author = {Casini, Horacio},
            keywords = {Quantum Fields and Strings, Quantum Gravity, Quantum Information},
            language = {en},
            title = {Area terms in entanglement entropy},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {aug},
            note = {PIRSA:15080070 see, \url{https://pirsa.org}}
          }

Horacio Casini

Bariloche Atomic Centre

Talk number
PIRSA:15080070
Collection
Talk Type
Subject
Abstract
We discuss area terms in entanglement entropy and show that a recent formula by Rosenhaus and Smolkin is equivalent to the Adler-Zee sum rule for the renormalization of the Newton constant in terms of correlator of traces of the stress tensor. We elaborate on how to fix the ambiguities in these formulas: Improving terms for the stress tensor of free fields, boundary terms in the modular Hamiltonian, and contact terms in the Euclidean correlation functions. We make computations for free fields and show how to apply these calculations to understand some results for interacting theories which have been studied in the literature. We check the sum rule holographicaly. We also discuss an application to the F-theorem.