Field strength for graded Yang-Mills theory

Details Field strength for graded Yang-Mills theory Field strength for graded Yang-Mills theory

2003-07-23

arxiv.org/abs/hep-th/0307230v3

Prob.Atomic Sci.Technol. 1 (2001) 74-75

Physics

High Energy Physics

High Energy Physics - Theory

2 pages, ReVTeX4, no figures; v3: a reference added

Scientific paper

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.

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