Physics NotePublished
Real Structures in Clifford Algebras and Majorana Conditions in Any Space-Time
M. A. Andrade; F. Toppan
1999
Publication details
- Authors
- M. A. Andrade; F. Toppan
- Type
- Physics Note
- Status
- Published
- Publication date
- 1999
- Description
- The Weyl representation is used to analyze Clifford algebras and Majorana conditions in any spacetime. An index labeling inequivalent <math>\Gamma</math> -structures up to orthogonal conjugations is introduced. Inequivalent charge-operators in even-dimensions, invariant under Wick rotations, are considered. The hermiticity condition on free-spinors lagrangians is presented. The constraints put by the Majorana condition on the free-spinors dynamics are analyzed. Tables specifying which spacetimes admit lagrangians with non-vanishing kinetic, massive or pseudomassive terms (for both charge-operators in even dimensions) are given. The admissible free lagrangians for free Majorana-Weyl spinors are fully classified.
- Year
- 1999
- Number
- CBPF-NF-013/99
- Linked to a thesis
- No
- Linked to a grant
- No