Entanglement Entropy in a Non-Conformal Background

Abstract

We use gauge-gravity duality to compute entanglement entropy in a non-conformal background with an energy scale $\hat{I}›$. At zero temperature, we observe that entanglement entropy decreases by raising $\hat{I}›$. However, at finite temperature, we realize that both $\frac{\hat{I}}{›}T$ and entanglement entropy rise together. Comparing entanglement entropy of the non-conformal theory, $S_{A(N)}$, and of its conformal theory at the $UV$ limit, $S_{A(C)}$, reveals that $S_{A(N)}$ can be larger or smaller than $S_{A(C)}$, depending on the value of $\frac{\hat{I}}{›}T$.

5 pages, 3 figures, published version