# Entanglement Entropy in Generalised Quantum Lifshitz Models

## TL;DR

This paper calculates universal finite corrections to entanglement entropy in generalized quantum Lifshitz models across various odd dimensions, revealing scale-invariant terms dependent on the scalar field's compactification radius.

## Contribution

It extends the analysis of entanglement entropy to higher-dimensional Lifshitz models with dynamical exponent equal to spatial dimension, providing explicit universal correction terms.

## Key findings

- Finite universal terms are scale invariant.
- Universal corrections depend on the scalar field's compactification radius.
- Results apply to models on spheres and tori in arbitrary odd dimensions.

## 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.