scholarly journals A supersymmetric Lagrangian for fermionic fields with mass dimension one

2012 ◽  
Vol 90 (12) ◽  
pp. 1185-1199 ◽  
Author(s):  
K.E. Wunderle ◽  
R. Dick
Keyword(s):  
Kinetic Term ◽  
Supersymmetric Model ◽  
Second Quantization ◽  
Supersymmetry Algebra ◽  
Third Order ◽  
Covariant Derivatives ◽  
Spinor Index ◽  
Mass Dimension ◽  
Fermionic Fields ◽  
Dimension One

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 based on a general superfield with one free spinor index. Then, we systematically derive all associated chiral and antichiral superfields up to third order in covariant derivatives. Using this formalism we are able to construct a supersymmetric on-shell Lagrangian that contains a kinetic term for the fermionic fields with mass dimension one. We then derive the corresponding on-shell supercurrent and succeed in formulating a consistent second quantization for the component fields. Finally, we present our result for a supersymmetric Hamiltonian. As the Lagrangian is by construction supersymmetric and the Hamiltonian was derived from the Lagrangian using supersymmetry algebra the Hamiltonian must be positive definite.

scholarly journals Creation of mass dimension one fermionic particles in asymptotically expanding universe

2017 ◽  
Vol 26 (12) ◽  
pp. 1730028 ◽  
Author(s):  
S. H. Pereira ◽  
Rodrigo C. Lima
Keyword(s):  
Dark Matter ◽  
Scalar Field ◽  
Particle Creation ◽  
Analytic Solutions ◽  
Coupling Case ◽  
Mass Dimension ◽  
Fermionic Fields ◽  
Expansion Of The Universe ◽  
Dimension One ◽  
The Universe

In the present work we study the process of particle creation for mass dimension one fermionic fields (sometimes named Elko) as a consequence of expansion of the universe. We study the effect driven by an expanding background that is asymptotically Minkowski in the past and future. The differential equation that governs the time mode function is obtained for the conformal coupling case and, although its solution is nonanalytic, within an approximation that preserves the characteristics of the terms that break analyticity, analytic solutions are obtained. Thus, by means of Bogolyubov transformations technique, the number density of particles created is obtained, which can be compared to exact solutions already present in literature for scalar and Dirac particles. The spectrum of the created particles was obtained and it was found that it is a generalization of the scalar field case, which converges to the scalar field one when the specific terms concerning the Elko field are dropped out. We also found that lighter Elko particles are created in larger quantities than the Dirac fermionic particles. By considering the Elko particles as candidate to the dark matter in the universe, such result shows that there are more light dark matter (Elko) particles created by the gravitational effects in the universe than baryonic (fermionic) matter, in agreement to the standard model.

scholarly journals Casimir effect for Elko fields

2017 ◽  
Vol 32 (22) ◽  
pp. 1730016 ◽  
Author(s):  
S. H. Pereira ◽  
J. M. Hoff da Silva ◽  
Rubia dos Santos
Keyword(s):  
Scalar Field ◽  
Dirichlet Boundary ◽  
Casimir Effect ◽  
Repulsive Force ◽  
Dirichlet Boundary Conditions ◽  
Fermion Fields ◽  
Mass Dimension ◽  
Fermionic Fields ◽  
The Right ◽  
Dimension One

The Casimir effect for mass dimension one fermion fields (sometimes called Elko) in (3 + 1) dimensions is obtained using Dirichlet boundary conditions. It is shown that the existence of a repulsive force is four times greater than the case of the scalar field. The precise reason for such differences are highlighted and interpreted, as well as the right parallel of the Casimir effect due to scalar and fermionic fields.

Coupling of fermionic fields with mass dimension one to the O'Raifeartaigh model

2014 ◽  
Vol 23 (14) ◽  
pp. 1444004
Author(s):  
Kai E. Wunderle ◽  
Rainer Dick
Keyword(s):  
Global Minimum ◽  
Lorentz Invariance ◽  
Coupled Model ◽  
Fermionic Sector ◽  
Mass Matrices ◽  
Mass Dimension ◽  
Interesting Candidate ◽  
Fermionic Fields ◽  
Dimension One ◽  
The Cost

We discuss the coupling of fermionic fields with mass dimension one to the O'Raifeartaigh model to study supersymmetry breaking for these fermions. We find that the coupled model has two distinct solutions. The first solution represents a local minimum of the superpotential which spontaneously breaks supersymmetry in perfect analogy to the O'Raifeartaigh model. The second solution is more intriguing as it corresponds to a global minimum of the superpotential. In this case, the coupling to the fermionic sector restores supersymmetry. However, this is achieved at the cost of breaking Lorentz invariance. Finally, the mass matrices for the multiplets of the coupled model are presented. It turns out that it contains two bosonic triplets and one fermionic doublet which are mass multiplets. In addition, it contains a massless fermionic doublet as well as one fermionic triplet which is not a mass multiplet but rather an interaction multiplet that contains component fields of different mass dimension. The results also imply that the presented model for fermionic fields with mass dimension one is an interesting candidate for supersymmetric dark matter (DM).

scholarly journals Fermionic degeneracy and non-local contributions in flag-dipole spinors and mass dimension one fermions

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
Cheng-Yang Lee
Keyword(s):  
Complex Number ◽  
Invariant Theory ◽  
Matrix Transformation ◽  
Fermionic Field ◽  
Temporal Gauge ◽  
Mass Dimension ◽  
Fermionic Fields ◽  
Non Local ◽  
Dimension One ◽  
Non Locality

AbstractWe construct a mass dimension one fermionic field associated with flag-dipole spinors. These spinors are related to Elko (flag-pole spinors) by a one-parameter matrix transformation $${\mathcal {Z}}(z)$$ Z ( z ) where z is a complex number. The theory is non-local and non-covariant. While it is possible to obtain a Lorentz-invariant theory via $$\tau $$ τ -deformation, we choose to study the effects of non-locality and non-covariance. Our motivation for doing so is explained. We show that a fermionic field with $$|z|\ne 1$$ | z | ≠ 1 and $$|z|=1$$ | z | = 1 are physically equivalent. But for fermionic fields with more than one value of z, their interactions are z-dependent thus introducing an additional fermionic degeneracy that is absent in the Lorentz-invariant theory. We study the fermionic self-interaction and the local U(1) interaction. In the process, we obtained non-local contributions for fermionic self-interaction that have previously been neglected. For the local U(1) theory, the interactions contain time derivatives that renders the interacting density non-commutative at space-like separation. We show that this problem can be resolved by working in the temporal gauge. This issue is also discussed in the context of gravity.

Cosmology with mass dimension one fields: recent developments

2020 ◽  
Vol 229 (11) ◽  
pp. 2079-2116
Author(s):  
S. H. Pereira ◽  
R. de C. Lima ◽  
M. E. S. Alves ◽  
T. M. Guimarães ◽  
J. F. Jesus ◽  
...  
Keyword(s):  
Mass Dimension ◽  
Recent Developments ◽  
Dimension One

scholarly journals An unified cosmological evolution driven by a mass dimension one fermionic field

2019 ◽  
Vol 79 (6) ◽  
Author(s):  
S. H. Pereira ◽  
M. E. S. Alves ◽  
T. M. Guimarães
Keyword(s):  
Cosmological Evolution ◽  
Fermionic Field ◽  
Mass Dimension ◽  
Dimension One

scholarly journals Mass-dimension-one fermions and their gravitational interaction

2019 ◽  
Vol 128 (2) ◽  
pp. 20004 ◽  
Author(s):  
R. J. Bueno Rogerio ◽  
R. de C. Lima ◽  
L. Duarte ◽  
J. M. Hoff da Silva ◽  
M. Dias ◽  
...  
Keyword(s):  
Gravitational Interaction ◽  
Mass Dimension ◽  
Dimension One

scholarly journals Partition function for a mass dimension one fermionic field and the dark matter halo of galaxies

2019 ◽  
Vol 34 (16) ◽  
pp. 1950126 ◽  
Author(s):  
S. H. Pereira ◽  
Richard S. Costa
Keyword(s):  
Dark Matter ◽  
Partition Function ◽  
Pauli Exclusion Principle ◽  
Dark Matter Halo ◽  
Exclusion Principle ◽  
Galactic Halos ◽  
Fermionic Field ◽  
Time Formalism ◽  
Mass Dimension ◽  
Dimension One

This work studies the finite temperature effects of a mass dimension one fermionic field, sometimes called Elko field. The equilibrium partition function was calculated by means of the imaginary time formalism and the result obtained was the same for a Dirac fermionic field, even though the Elko field does not satisfy a Dirac-like equation. The high and low temperature limits were obtained, and for the last case the degeneracy pressure due to Pauli exclusion principle can be responsible for the dark matter halos around galaxies to be greater than or of the same order of the galaxy radius. Also, for a light particle of about 1.0 eV and a density of just 1 particle per cubic centimeter, the value of the total dark matter mass due to Elko particles is of the same order of a typical galaxy. Such a result satisfactorily explains the dark matter as being formed just by Elko fermionic particles and also the existence of galactic halos that go beyond the observable limit.

scholarly journals Renormalization of a model for spin-1 matter fields

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Ailier Rivero-Acosta ◽  
Carlos A. Vaquera-Araujo
Keyword(s):  
Lorentz Group ◽  
Homogeneous Lorentz Group ◽  
Mass Dimension ◽  
The One ◽  
Dimension One ◽  
Matter Fields

Abstract In this work, the one-loop renormalization of a theory for fields transforming in the $$(1,0)\oplus (0,1)$$(1,0)⊕(0,1) representation of the Homogeneous Lorentz Group is studied. The model includes an arbitrary gyromagnetic factor and self-interactions of the spin 1 field, which has mass dimension one. The model is shown to be renormalizable for any value of the gyromagnetic factor.

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