Area terms in entanglement entropy

CASINI, HORACIO; MAZZITELLI, F. DIEGO; TESTE, EDUARDO

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS

Año: 2015

0556-2821

We discuss area terms in entanglement entropy and show that a recent formulaby Rosenhaus and Smolkin is equivalent to the term involving a correlator oftraces of the stress tensor in Adler-Zee formula for the renormalization of theNewton constant. We elaborate on how to fix the ambiguities in these formulas:Improving terms for the stress tensor of free fields, boundary terms in themodular Hamiltonian, and contact terms in the Euclidean correlation functions.We make computations for free fields and show how to apply these calculationsto understand some results for interacting theories which have been studied inthe literature. We also discuss an application to the F-theorem.