Entanglement entropy in lattice theories with Abelian gauge groups
High Energy Physics - Theory
2018-09-05 v1 High Energy Physics - Lattice
Abstract
We revisit the issue of the geometrical separability of the Hilbert space of physical states on lattice Abelian theories in the context of entanglement entropy. We discuss the conditions under which vectors in the Hilbert space, as well as the gauge invariant algebra, admit a tensor product decomposition with a geometrical interpretation. With the exception of pure gauge lattices with periodic boundary conditions which contain topological degrees of freedom, we show that the Hilbert space is geometrically separable.
Keywords
Cite
@article{arxiv.1809.00230,
title = {Entanglement entropy in lattice theories with Abelian gauge groups},
author = {Mihael Hategan},
journal= {arXiv preprint arXiv:1809.00230},
year = {2018}
}