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arXiv · 1701.00688

The Aharonov-Bohm Effect on Entanglement Entropy in Conformal Field Theory

Noburo Shiba
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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.

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Noburo Shiba. 2017-01-03. The Aharonov-Bohm Effect on Entanglement Entropy in Conformal Field Theory. https://doi.org/10.1103/physrevd.96.065016

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