Yang-Mills theory for non-semisimple groups

Details Yang-Mills theory for non-semisimple groups Yang-Mills theory for non-semisimple groups

2002-10-22

arxiv.org/abs/hep-th/0210214v1

Phys.Rev. D67 (2003) 025014

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, no figures, prepared with ReVTeX4

Scientific paper

10.1103/PhysRevD.67.025014

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.

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