A Faddeev-Niemi Solution that Does Not Satisfy Gauss' Law
High Energy Physics - Theory
2011-04-20 v1
Abstract
Faddeev and Niemi have proposed a reformulation of SU(2) Yang-Mills theory in terms of a U(1) gauge theory with 8 off-shell degrees of freedom. We present a solution to Faddeev and Niemi's formulation which does not solve the SU(2) Yang-Mills Gauss constraints. This demonstrates that the proposed reformulation is inequivalent to Yang-Mills, but instead describes Yang-Mills coupled to a particular choice of external charge.
Cite
@article{arxiv.1010.1702,
title = {A Faddeev-Niemi Solution that Does Not Satisfy Gauss' Law},
author = {Jarah Evslin and Simone Giacomelli},
journal= {arXiv preprint arXiv:1010.1702},
year = {2011}
}
Comments
10 pages, no figures