Absence of Majorana-Weyl fermions in d = 4 and the theory of Majorana fermions
Abstract
It is customary to identify ψ + = ν R + C ν R ¯ T with a Majorana fermion on the basis of chirality changing charge conjugation C ˜ : ν R → C ν R ¯ T and parity P ˜ : ν R → i γ 4 ν R . The theorem on the absence of a Majorana-Weyl fermion in d = 4 states C ˜ γ 5 C ˜ − 1 = − γ 5 with C ˜ = C γ 4 T , and, thus, the charge conjugation of the equivalent Majorana ψ + = ( 1 + γ 5 2 ) ν R + ( 1 − γ 5 2 ) C ν R ¯ T vanishes without subsidiary γ 5 → − γ 5
Fields of Study & Subjects
Topological Materials and Phenomena
Rare-earth and actinide compounds
Crystallography and Radiation Phenomena
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Volume
- 113
- Issue
- 1
- Publication date
- 2 January 2026
- Language
- EN