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

2000/01/11 by Semyon Pol'shin, Pol'shin, Semyon
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Atomic and Subatomic Physics Research #Crystallography and Radiation Phenomena #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0001069

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

openalex publication_date 2000/01/11 · arxiv created 2000/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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