Propagators of the Dirac fermions in de Sitter expanding universe

Abstract

The propagators of the Dirac fermions are studied in the configuration representation on the expanding portion of the (1+3)-dimensional de Sitter spacetime considering a fixed vacuum of Bunch-Davies type. In this representation the method of Koksma and Prokopec [J. F. Koksma and T. Prokopec, Class. Quant. Grav. 26, 125003 (2009)] is applied recovering thus the form of the propagators in the massive case but obtaining a new result for the left-handed massless fermions (neutrinos).

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