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.

arXiv comment41 pages, 3 figures

References in corpus (26)

• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Search for Majorana fermions in superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Resonant Leptogenesis
• CP Asymmetry in Majorana Neutrino Decays
• 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
• Search for non-Abelian Majorana braiding statistics in superconductors
• The covariant graviton propagator in de Sitter spacetime
• Infrared Propagator Corrections for Constant Deceleration
• Fermion Mass Generation in de Sitter Space
• A Maximally Symmetric Vector Propagator
• The Little Review on Leptogenesis
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• Connecting neutrino physics with dark matter
• Graviton Propagator in a General Invariant Gauge on de Sitter
• Fermion Propagator in Cosmological Spaces with Constant Deceleration
• Mode-sum construction of the covariant graviton two-point function in the Poincaré patch of de Sitter space
• Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of de Sitter space
• Propagators in de Sitter space
• SO(10)-GUT Coherent Baryogenesis
• Leptogenesis with Heavy Majorana Neutrinos Reexamined
• Graviton Propagator in a 2-Parameter Family of de Sitter Breaking Gauges
• An exact solution of the Dirac equation with CP violation
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• Propagators of the Dirac fermions on spatially flat FLRW spacetimes