Path Integrals with Generalized Grassmann Variables

Details Path Integrals with Generalized Grassmann Variables Path Integrals with Generalized Grassmann Variables

1995-04-22

arxiv.org/abs/q-alg/9504016v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX

Scientific paper

10.1016/0375-9601(95)00649-N

We construct path integral representations for the evolution operator of
q-oscillators with root of unity values of q-parameter using Bargmann-Fock
representations with commuting and non-commuting variables, the differential
calculi being q-deformed in both cases. For $q^2=-1$ we obtain a new form of
Grassmann-like path integral.

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