Majorana propagator on de Sitter space

Abstract

We study the dynamics of Majorana fermions in an expanding de Sitter space and to that aim we construct the vacuum Feynman propagator for Majorana fermions in de Sitter space. Surprisingly, the Majorana propagator is identical to that of the Dirac fermions. We then use this propagator and calculate the one-loop effective action for Majorana fermions, and show that it differs from that of Dirac fermions by a factor of 1/2, which accounts for the reduced number of degrees of freedom of the Majorana particle. Finally, we derive the Majorana and Dirac propagators for mixing fermionic flavors, which are suitable for studying CP-violating effects in quantum loops.

41 pages, 3 figures

References in corpus (8)

• Baryogenesis from the weak scale to the grand unification scale
• Deducing the nature of dark matter from direct and indirect detection experiments in the absence of collider signatures of new physics
• Infrared Propagator Corrections for Constant Deceleration
• Fermion Mass Generation in de Sitter Space
• A Maximally Symmetric Vector Propagator
• The Little Review on Leptogenesis
• Connecting neutrino physics with dark matter
• An exact solution of the Dirac equation with CP violation