Infinitely many conservation laws in self-dual Yang--Mills theory
High Energy Physics - Theory
2008-11-26 v2 Mathematical Physics
math.MP
Abstract
Using a nonlocal field transformation for the gauge field known as Cho--Faddeev--Niemi--Shabanov decomposition as well as ideas taken from generalized integrability, we derive a new family of infinitely many conserved currents in the self-dual sector of SU(2) Yang-Mills theory. These currents may be related to the area preserving diffeomorphisms on the reduced target space. The calculations are performed in a completely covariant manner and, therefore, can be applied to the self-dual equations in any space-time dimension with arbitrary signature.
Cite
@article{arxiv.0804.4418,
title = {Infinitely many conservation laws in self-dual Yang--Mills theory},
author = {C. Adam and J. Sanchez-Guillen and A. Wereszczynski},
journal= {arXiv preprint arXiv:0804.4418},
year = {2008}
}
Comments
12 pages, extensively revised version. One section on previous results and some references added