The Aharonov-Bohm Effect on Entanglement Entropy in Conformal Field Theory
High Energy Physics - Theory
2017-09-27 v2 Statistical Mechanics
Quantum Physics
Abstract
We consider the Aharonov-Bohm effect on entanglement entropy for one interval in (1+1) dimensional conformal field theory on a one dimensional ring. The magnetic field is confined inside the ring, i.e. there is a Wilson loop on the ring. The Aharonov-Bohm phase factor which is proportional to the Wilson loop is represented as insertion of twist operators. We compute exactly the Renyi entropy from a four point function of twist operators in a free charged scalar field.
Keywords
Cite
@article{arxiv.1701.00688,
title = {The Aharonov-Bohm Effect on Entanglement Entropy in Conformal Field Theory},
author = {Noburo Shiba},
journal= {arXiv preprint arXiv:1701.00688},
year = {2017}
}
Comments
17 pages, 5 figures; v2, added references, the small AB phase limit and the UV cutoff dependence of Renyi entropy are revised