Path Integrals with Generalized Grassmann Variables
classification
q-alg
hep-thmath.QA
keywords
pathintegralrepresentationsvariablesbargmann-fockcalculicasescommuting
read the original abstract
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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