Boost matrix elements and Clebsch–Gordan coefficients of the homogeneous Lorentz group

1977 ◽  
Vol 18 (9) ◽  
pp. 1768-1781 ◽  
Author(s):  
M. K. F. Wong ◽  
Hsin‐Yang Yeh
Keyword(s):  
Lorentz Group ◽  
Matrix Elements ◽  
Homogeneous Lorentz Group

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

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.

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.

Harmonic analysis in terms of the homogeneous Lorentz group

1967 ◽  
Vol 25 (3) ◽  
pp. 230-232 ◽  
Author(s):  
R. Delbourgo ◽  
A. Salam ◽  
J. Strathdee
Keyword(s):  
Harmonic Analysis ◽  
Lorentz Group ◽  
Homogeneous Lorentz Group
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