Field strength for graded Yang-Mills theory
Abstract
Description
The field strength is defined for the orthosymplectic non-degenerate graded Lie algebra on three even and two odd generators. We show that a pair of Grassman-odd scalar fields find their place as a constituent part of the graded gauge potential on the equal footing with an ordinary, i.e. Grassman-even, one-form taking values in the proper Lie subalgebra, su(2), of the graded Lie algebra. Some possibilities of constructing a meaningful variational principle are discussed.
2 pages, ReVTeX4, no figures; v3: a reference added
2 pages, ReVTeX4, no figures; v3: a reference added