The general form of the *-commutator on the Grassman algebra

Details The general form of the *-commutator on the Grassman algebra The general form of the *-commutator on the Grassman algebra

2001-01-11

arxiv.org/abs/hep-th/0101068v1

Theor.Math.Phys. 128 (2001) 1271-1292; Teor.Mat.Fiz. 128 (2001) 515-539

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, LATEX

Scientific paper

We study the general form of the *-commutator treated as a deformation of the Poisson bracket on the Grassman algebra. We show that, up to a similarity transformation, there are other deformations of the Poisson bracket in addition to the Moyal commutator (one at even and one at odd n, n is the number of the generators of the Grassman algebra) which are not reduced to the Moyal commutator by a similarity transformation.

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