Topological Charge of U(1) Instantons
High Energy Physics - Theory
2008-11-26 v1
Abstract
Non-singular instantons are shown to exist on noncommutative R^4 even with a U(1) gauge group. Their existence is primarily due to the noncommutativity of the space. The relation between U(1) instantons on noncommutative R^4 and the projection operators acting on the representation space of the noncommutative coordinates is reviewed. The integer number of instantons on the noncommutative R^4 can be understood as the winding number of the U(1) gauge field as well as the dimension of the projection on the representation space.
Cite
@article{arxiv.hep-th/0010006,
title = {Topological Charge of U(1) Instantons},
author = {Furuuchi Kazuyuki},
journal= {arXiv preprint arXiv:hep-th/0010006},
year = {2008}
}
Comments
49 pages, 7 figures, based on talk given at APCTP-Yonsei Workshop on Noncommutative Field Theories