Quantization of fields over de Sitter space by the method of generalized coherent states. II. Spinor field

Details Quantization of fields over de Sitter space by the method of generalized coherent states. II. Spinor field Quantization of fields over de Sitter space by the method of generalized coherent states. II. Spinor field

2000-01-11

arxiv.org/abs/hep-th/0001069v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LATEX, using ioplppt.sty and iopfts.sty v.2: some misprints corrected, in particular in the final expression for the

Scientific paper

Connection of the invariant Dirac equation over the de Sitter space with irreducible representations of the de Sitter group is ascertained. The set of solutions of this equation is obtained in the form of the product of two different systems of generalized coherent states for the de Sitter group. Using these solutions the quantized Dirac field over de Sitter space is constructed and its propagator is found. It is a result of action of some de Sitter invariant spinor operator onto the spin zero propagator with an imaginary shift of a mass.

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