1998/11/27 by C G Beneventano, C. G. Beneventano, M. De Francia +4
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9811242
To appear in Proceedings of "Fourth Workshop on Quantum Field Theory under the influence of External Conditions"
arxiv created 1998/11/27 · openalex publication_date 1998/11/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the problem of a Dirac field in the background of an Aharonov-Bohm flux string. We exclude the origin by imposing spectral boundary conditions at a finite radius then shrinked to zero. Thus, we obtain a behaviour of the eigenfunctions which is compatible with the self-adjointness of the radial Hamiltonian and the invariance under integer translations of the reduced flux. After confining the theory to a finite region, we check the consistency with the index theorem, and discuss the vacuum fermionic number and Casimir energy.