Field strength for graded Yang-Mills theory

2001
2 pages
Published in:
  • Prob.Atomic Sci.Technol. 2001N1 (2001) 74-75
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Abstract:
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.
Note:
  • 2 pages, ReVTeX4, no figures: v3: a reference added Journal-ref: Problems Atom. Sci.Tech. Vol. 6, No. 1. pp. 74-75 (2001)
  • gauge field theory: Yang-Mills
  • algebra: Lie
  • field strength
  • algebra: SU(2)
  • algebra: OSp(2/1)