Aharonov-Bohm Effect on Noncommutative Plane: A Coherent State Approach
High Energy Physics - Theory
2008-11-26 v3
Abstract
We apply the coherent state approach to study Aharonov-Bohm effect in the field theory context. We verify that, contrarily to the commutative result, the scattering amplitude is ultraviolet finite. However, we have logarithmic singularities as the noncommutative parameter tends to zero. Thus, the inclusion of a quartic self-interaction for the scalar field is necessary to obtain a smooth commutative limit.
Cite
@article{arxiv.hep-th/0512289,
title = {Aharonov-Bohm Effect on Noncommutative Plane: A Coherent State Approach},
author = {M. A. Anacleto and J. R. Nascimento and A. Yu. Petrov},
journal= {arXiv preprint arXiv:hep-th/0512289},
year = {2008}
}
Comments
14 pages, 4 figures, minor corrections