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.

Partial-Wave Analysis in Terms of the Homogeneous Lorentz Group

1967 ◽  
Vol 164 (5) ◽  
pp. 1981-1990 ◽  
Author(s):  
R. Delbourgo ◽  
Abdus Salam ◽  
J. Strathdee
Keyword(s):  
Partial Wave ◽  
Lorentz Group ◽  
Partial Wave Analysis ◽  
Wave Analysis ◽  
Homogeneous Lorentz Group

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 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.

On particle-like representations of the complete homogeneous Lorentz group

1973 ◽  
Vol 74 (1) ◽  
pp. 149-160 ◽  
Author(s):  
J. A. de Wet
Keyword(s):  
Lorentz Group ◽  
Wave Functions ◽  
Unitary Groups ◽  
Irreducible Representations ◽  
Electron Wave ◽  
Precise Form ◽  
Homogeneous Lorentz Group ◽  
The Many ◽  
Matrix Contraction

In two previous papers (1, 2) representations of the unitary groups U4, U2 were found which described some of the properties of nucleons and electrons. In particular, the many electron wave functions were constructed from the irreducible representations of U2 restricted to the proper orthochronous Lorentz group Lp. In this paper the irreducible representations of U4 found in (1) will be shown to be also irreducible representations of the complete homogeneous Lorentz group L0 and the techniques of matrix contraction employed in (2) will be used to find the precise form of the matrices of the infinitesimal ring.

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