Numerical determination of the entanglement entropy for a Maxwell field in the cylinder

Abstract

We calculate numerically the logarithmic contribution to the entanglement entropy of a cylindrical region in three spatial dimensions for a Maxwell field. Our result does not agree with the analytical predictions concerning any conformal field theory in four dimensions according to which the coefficient is universal and proportional to the type c conformal anomaly. In cylindrical coordinates the problem decomposes into one dimensional ones along the radial coordinate for each angular momentum. The entanglement entropy of a Maxwell field is equivalent to the one of two identical decoupled scalars with an extra self interaction term.

11 pages, 3 figures

References in corpus (9)

• Towards a derivation of holographic entanglement entropy
• Entanglement entropy, conformal invariance and extrinsic geometry
• Aspects of Entanglement Entropy for Gauge Theories
• Exact and Numerical Results on Entanglement Entropy in (5+1)-Dimensional CFT
• Entanglement entropy for a Maxwell field: Numerical calculation on a two dimensional lattice
• Entanglement Entropy in (3+1)-d Free $U(1)$ Gauge Theory
• Entanglement entropy of a Maxwell field on the sphere
• Entanglement entropy for even spheres
• Entanglement entropy of round spheres

Cited by in corpus (2)

• Defining entanglement without tensor factoring: a Euclidean hourglass prescription
• Universal terms of the entanglement entropy in a static closed universe