Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-08
Phys.Rev.Lett.76:3842-3845,1996
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 5 figures
Scientific paper
10.1103/PhysRevLett.76.3842
Gauge theories with the orthogonal Cayley-Klein gauge groups $SO(2;j)$ and $SO(3;{\bf j})$ are regarded. For nilpotent values of the contraction parameters ${\bf j}$ these groups are isomorphic to the non-semisimple Euclid, Newton, Galilei groups and corresponding matter spaces are fiber spaces with degenerate metrics. It is shown that the contracted gauge field theories describe the same set of fields and particle mass as $SO(2), SO(3)$ gauge theories, if Lagrangians in the base and in the fibers all are taken into account. Such theories based on non-semisimple contracted group provide more simple field interactions as compared with the initial ones.
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