Comments on the U(2) Noncommutative Instanton
High Energy Physics - Theory
2009-11-07 v1
Abstract
We discuss the 't Hoof ansatz for instanton solutions in noncommutative U(2) Yang-Mills theory. We show that the extension of the ansatz leading to singular solutions in the commutative case, yields to non self-dual (or self-antidual) configurations in noncommutative space-time. A proposal leading to selfdual solutions with Q=1 topological charge (the equivalent of the regular BPST ansatz) can be engineered, but in that case the gauge field and the curvature are not Hermitian (although the resulting Lagrangian is real).
Keywords
Cite
@article{arxiv.hep-th/0105085,
title = {Comments on the U(2) Noncommutative Instanton},
author = {D. H. Correa and G. S. Lozano and E. F. Moreno and F. A. Schaposnik},
journal= {arXiv preprint arXiv:hep-th/0105085},
year = {2009}
}
Comments
Latex file, no figures