Noncommutative Instantons on R^2_{NC} x R^2_C
High Energy Physics - Theory
2009-11-07 v2
Abstract
We study U(1) and U(2) noncommutative instantons on R^2_{NC} x R^2_C based on the ADHM construction. It is shown that a mild singularity in the instanton solutions for both self-dual and anti-self-dual gauge fields always disappears in gauge invariant quantities and thus physically regular solutions can be constructed even though any projected states are not involved in the ADHM construction. Furthermore the instanton number is also an integer.
Keywords
Cite
@article{arxiv.hep-th/0109121,
title = {Noncommutative Instantons on R^2_{NC} x R^2_C},
author = {Keun-Young Kim and Bum-Hoon Lee and Hyun Seok Yang},
journal= {arXiv preprint arXiv:hep-th/0109121},
year = {2009}
}
Comments
v2: 15 pages, 1 figure, Latex. Added comments for clarification. References added