Numerical Computations of Entanglement Measures in Curved Space

TL;DR

This paper develops numerical methods to compute entanglement entropy and negativity for scalar and gauge fields in curved space, extending previous flat-space calculations and comparing results with heat kernel approaches.

Contribution

It introduces covariant discretization techniques for curved space and applies them to compute entanglement measures, expanding the scope of prior flat-space studies.

Findings

Numerical results for entanglement entropy and negativity in curved space.

Comparison with heat kernel coefficient calculations.

Extension of entanglement computations to gauge fields in curved backgrounds.

Abstract

We numerically compute the entanglement entropy and negativity for scalar fields and abelian gauge fields in a variety of situations. These extend computations of Srednicki to situations involving curved space. We discretize space in a covariant way. Finally, we compare some of our results with those obtained via the heat kernel coefficients.