Aharonov-Bohm Effect in Noncommutative Spaces
High Energy Physics - Theory
2009-10-07 v2
Abstract
The Aharonov-Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle in a noncommutative space. We show that the corresponding shift in the phase of the particle propagator due to the magnetic field of a thin solenoid receives certain gauge invariant corrections because of the noncommutativity. Evaluating the numerical value for this correction, an upper bound for the noncommutativity parameter is obtained.
Cite
@article{arxiv.hep-th/0012175,
title = {Aharonov-Bohm Effect in Noncommutative Spaces},
author = {M. Chaichian and A. Demichev and P. Presnajder and M. M. Sheikh-Jabbari and A. Tureanu},
journal= {arXiv preprint arXiv:hep-th/0012175},
year = {2009}
}
Comments
2nd version, some clarifications added, the results compared with the existing experimental data