Dynamics of Majorana Fermions on Cosmological Spaces and Leptogenesis

Abstract

The thesis presented here is motivated by Leptogenesis where the study of dynamics of Majorana fermions become crucial. Majorana fermion dynamics are discussed contrasting them with the dynamics of Dirac fermions. Equations of motion for Majorana fermions are studied in spatially homogeneous conformal spaces. The said equations reveal a certain topological structure and this is realized by solving them on de Sitter space. We then use them to construct the Feynman propagator for Majorana fermions.