Dirac fields in a Bohm-Aharonov background and spectral boundary conditions
High Energy Physics - Theory
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9811242,
title = {Dirac fields in a Bohm-Aharonov background and spectral boundary conditions},
author = {C. G. Beneventano and M. De Francia and E. M. Santangelo},
journal= {arXiv preprint arXiv:hep-th/9811242},
year = {2007}
}
Comments
To appear in Proceedings of "Fourth Workshop on Quantum Field Theory under the influence of External Conditions"