Para-Generalization of Peierls Bracket Quantization

Details Para-Generalization of Peierls Bracket Quantization Para-Generalization of Peierls Bracket Quantization

1995-08-14

arxiv.org/abs/hep-th/9508061v2

Int.J.Mod.Phys.A11:2941-2956,1996

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 27 pages.

Scientific paper

10.1142/S0217751X96001437

A convenient formalism is developed to treat classical dynamical systems involving $(p=2)$ parafermionic and parabosonic dynamical variables. This is achieved via the introduction of a parabracket which summarizes the paracommutation relations of the corresponding Green components in a unified manner. Furthermore, it is shown that Peierls quantization scheme may be applied to such systems provided that one uses the above mentioned parabracket to express the quantum paracommutation relations. Application of the Peierls scheme also provides the form of the parafermionic and parabosonic kinetic terms in the Lagrangian.

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