Propagators of the Dirac fermions in de Sitter expanding universe
Ion I. Cotaescu
TL;DR
This paper derives the propagators for Dirac fermions in de Sitter spacetime, including a new result for massless neutrinos, using a configuration space approach and building on previous methods.
Contribution
It extends the method of Koksma and Prokopec to derive propagators for both massive and massless fermions in de Sitter space, providing new results for neutrinos.
Findings
Derived propagators for massive Dirac fermions in de Sitter space.
Obtained a new form of propagators for massless neutrinos.
Confirmed the applicability of the Koksma-Prokopec method in this context.
Abstract
The propagators of the Dirac fermions are studied in the configuration representation on the expanding portion of the -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. {\bf 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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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories