Entanglement Entropy in Generalised Quantum Lifshitz Models

Abstract

We compute universal finite corrections to entanglement entropy for generalised quantum Lifshitz models in arbitrary odd spacetime dimensions. These are generalised free field theories with Lifshitz scaling symmetry, where the dynamical critical exponent $z$ equals the number of spatial dimensions $d$, and which generalise the 2+1-dimensional quantum Lifshitz model to higher dimensions. We analyse two cases: one where the spatial manifold is a $d$-dimensional sphere and the entanglement entropy is evaluated for a hemisphere, and another where a $d$-dimensional flat torus is divided into two cylinders. In both examples the finite universal terms in the entanglement entropy are scale invariant and depend on the compactification radius of the scalar field.

60 pages (including appendices), 5 figures; v2: references added, presentation improved, conclusions unchanged, v3: matching published version