Description
Book SynopsisIn 2005, Dharam Ahluwalia and Daniel Grumiller reported an unexpected theoretical discovery of mass dimension one fermions. These are an entirely new class of spin one half particles, and because of their mass dimensionality mismatch with the standard model fermions they are a first-principle dark matter candidate. Written by one of the physicists involved in the discovery, this is the first book to outline the discovery of mass dimension one fermions. Using a foundation of Lorentz algebra it provides a detailed construction of the eigenspinors of the charge conjugation operator (Elko) and their properties. The theory of dual spaces is then covered, before mass dimension one fermions are discussed in detail. With mass dimension one fermions having applications to cosmology and high energy physics, this book is essential for graduate students and researchers in quantum field theory, mathematical physics, and particle theory.
Trade Review'This monograph presents several important concepts of quantum field theory in a different perspective and explores the consequences. If nothing else, it definitely contributes to reinforcing our understanding of current quantum field theory by separating out necessities from conventions in the formulation grounds of the theory. I am deeply convinced, however, that the additional elements presented in the book may serve a bigger purpose: the understanding of dark matter physics.' Julio Marny Hoff da Silva, Mathematical Reviews Clippings
Table of ContentsPreface; Acknowledgements; 1. Introduction; 2. A trinity of duplexities; 3. From elements of Lie symmetries to Lorentz algebra; 4. Representations of Lorentz Algebra; 5. Discrete symmetries: Part 1 (Parity); 6. Discrete symmetries: Part 2 (Charge conjugation); 7. Eigenspinors of charge conjugation operator, Elko; 8. Construction of Elko; 9. A hint for mass dimension one fermions; 10. CPT for Elko; 11. Elko in Shirokov-Trautman, Wigner, and Lounesto classifications; 12. Rotation induced effects on Elko; 13. Elko-Dirac interplay, a temptation and a departure; 14. An ab initio journey into duals; 15. Mass dimension one fermions; 16. Mass dimension one fermions as a first principle dark matter; 17. Continuing the story; Appendix: a brief survey of other Elko literature; References; Index.
