Area terms in entanglement entropy

Horacio Casini, F. D. Mazzitelli, Eduardo Testé
2015 Physical Review D  
We discuss area terms in entanglement entropy and show that a recent formula by Rosenhaus and Smolkin is equivalent to the term involving a correlator of traces of the stress tensor in Adler-Zee formula for the renormalization of the Newton constant. 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
more » ... elds and show how to apply these calculations to understand some results for interacting theories which have been studied in the literature. We also discuss an application to the F-theorem.
doi:10.1103/physrevd.91.104035 fatcat:jlt43cy63fgzhfyc6porf7gpee