Zero modes of the Dirac operator in three dimensions
High Energy Physics - Theory
2016-08-25 v2
Abstract
We investigate zero modes of the Dirac operator coupled to an Abelian gauge field in three dimensions. We find that the existence of a certain class of zero modes is related to a specific topological property precisely when the requirement of finite Chern--Simons action is imposed.
Cite
@article{arxiv.hep-th/9903040,
title = {Zero modes of the Dirac operator in three dimensions},
author = {C. Adam and B. Muratori and C. Nash},
journal= {arXiv preprint arXiv:hep-th/9903040},
year = {2016}
}
Comments
13 pages, 6 figures, uses the macro psbox.tex, replaced by a revised version to be published in Phys. Rev. D. The section on the Seiberg-Witten equations, which contained a sign error, has been removed. This removal leads to further issues which will appear in a future publication