Mass Dimension One Fermions

Provides an overview of the eigenspinors of the charge conjugation operator and mass one dimension fermions.

Dharam Ahluwalia (Author)

9781107094093, Cambridge University Press

Hardback, published 4 July 2019

132 pages, 3 tables
25.4 x 18.1 x 1.3 cm, 0.43 kg

'This monograph presents several important concepts of quantum ?eld theory in a di?erent perspective and explores the consequences. If nothing else, it de?nitely contributes to reinforcing our understanding of current quantum ?eld 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 Ho? da Silva, Mathematical Reviews Clippings

In 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.

Preface
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.

Subject Areas: Mathematical physics [PHU], Particle & high-energy physics [PHP], Nuclear physics [PHN]