Yang-Mills theory for non-semisimple groups
High Energy Physics - Theory
2009-11-07 v1
Abstract
For semisimple groups, possibly multiplied by U(1)'s, the number of Yang-Mills gauge fields is equal to the number of generators of the group. In this paper, it is shown that, for non-semisimple groups, the number of Yang-Mills fields can be larger. These additional Yang-Mills fields are not irrelevant because they appear in the gauge transformations of the original Yang-Mills fields. Such non-semisimple Yang-Mills theories may lead to physical consequences worth studying. The non-semisimple group with only two generators that do not commute is studied in detail.
Cite
@article{arxiv.hep-th/0210214,
title = {Yang-Mills theory for non-semisimple groups},
author = {Jean Nuyts and Tai Tsun Wu},
journal= {arXiv preprint arXiv:hep-th/0210214},
year = {2009}
}
Comments
16 pages, no figures, prepared with ReVTeX4