2017/01/31 by Noburo Shiba · 10 citations
Mathematics · Physics and Astronomy · #Aharonov–Bohm effect #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Entropy (arrow of time) #Geometry #Magnetic field #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Scalar field #Twist #cond-mat.stat-mech #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.96.065016
published in Physical review. D/Physical review. D. 96(6) (American Physical Society) · 17 pages, 5 figures; v2, added references, the small AB phase limit and the UV cutoff dependence of Renyi entropy are revised
arxiv created 2017/05/01 · openalex publication_date 2017/09/22 · arxiv updated 2017/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.