Spinor two-point functions and Peierls bracket in de Sitter space

Details Spinor two-point functions and Peierls bracket in de Sitter space Spinor two-point functions and Peierls bracket in de Sitter space

2009-02-12

arxiv.org/abs/0902.2098v2

Int.J.Geom.Meth.Mod.Phys.6:1069-1088,2009

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, Latex. In the final version, the presentation has been improved

Scientific paper

10.1142/S0219887809004089

This paper studies spinor two-point functions for spin-1/2 and spin-3/2 fields in maximally symmetric spaces such as de Sitter spacetime, by using intrinsic geometric objects. The Feynman, positive- and negative-frequency Green functions are then obtained for these cases, from which we eventually display the supercommutator and the Peierls bracket under such a setting in two-component-spinor language.

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