# Self-interacting mass-dimension one fields for any spin

@article{Lee2012SelfinteractingMO, title={Self-interacting mass-dimension one fields for any spin}, author={Cheng-Yang Lee}, journal={arXiv: High Energy Physics - Theory}, year={2012} }

According to Ahluwalia and Grumiller, massive spin-half fields of mass-dimension one can be constructed using the eigenspinors of the charge-conjugation operator (Elko) as expansion coefficients. In this paper, we generalize their result by constructing quantum fields from higher-spin Elko. The kinematics of these fields are thoroughly investigated. Starting with the field operators, their propagators and Hamiltonians are derived. These fields satisfy the higher-spin generalization of the Klein…

## 36 Citations

Symmetries and unitary interactions of mass dimension one fermionic dark matter

- Physics
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The fermionic fields constructed from Elko have several unexpected properties. They satisfy the Klein-Gordon but not the Dirac equation and are of mass dimension one instead of three-half. Starting…

On a local mass dimension one Fermi field of spin one-half and the theoretical crevice that allows it

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Since the 1928 seminal work of Dirac, and its subsequent development by Weinberg, a view is held that there is a unique Fermi field of spin one-half. It is endowed with mass dimension three-half.…

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We introduce a fermionic spin one-half quantum field with eigenspinors of the charge conjugation operator as its expansion coefficients. For the eigenspinors we make a very specific choice of the…

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- 2020

A self-contained review on spin-half mass dimension one fermions and their higher-spin generalizations is presented. Starting from the two-component left-handed Weyl spinors, the Dirac spinors and…

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- Physics
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- Physics
- 2016

About a decade ago the present author in collaboration with Daniel Grumiller presented an ‘unexpected theoretical discovery’ of spin one-half fermions with mass dimension one (Ahluwalia-Khalilova and…

Elko and mass dimension one field of spin one half: causality and Fermi statistics

- Physics
- 2014

We review how Elko arise as an extension of complex valued four-component Majorana spinors. This is followed by a discussion that constrains certain elements of phase freedom. A proof is reviewed…

A supersymmetric Lagrangian for fermionic fields with mass dimension one

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- 2012

We present the derivation of a supersymmetric model for fermionic fields with integer-valued mass dimension based on a general superfield with one free spinor index. First, we develop a formalism…

Mass dimension one fermions from flag dipole spinors

- Physics
- 2018

According to the Lounesto classification, there are six classes of spinors. The Dirac and Weyl spinors belong to the first three and the sixth classes respectively. The remaining fourth and fifth…

Mass Dimension One Fermions

- PhysicsMass Dimension One Fermions
- 2019

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…

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