Homogeneous Lorentz Group

1986 ◽  
pp. 236-254
Author(s):  
Y. S. Kim ◽  
Marilyn E. Noz
Keyword(s):  
Lorentz Group ◽  
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

Recursion and Symmetry Relations for the Clebsch‐Gordan Coefficients of the Homogeneous Lorentz Group

1970 ◽  
Vol 11 (3) ◽  
pp. 1059-1068 ◽  
Author(s):  
R. L. Anderson ◽  
R. Rączka ◽  
M. A. Rashid ◽  
P. Winternitz
Keyword(s):  
Lorentz Group ◽  
Homogeneous Lorentz Group ◽  
Symmetry Relations

Realizations of generators of complex angular momentum

1990 ◽  
Vol 68 (7-8) ◽  
pp. 599-603
Author(s):  
Shuchi Bora ◽  
H. C. Chandola ◽  
B. S. Rajput
Keyword(s):  
Angular Momentum ◽  
Lorentz Group ◽  
Continuous Spin ◽  
Zero Mass ◽  
Complex Angular Momentum ◽  
General Manner ◽  
Homogeneous Lorentz Group ◽  
Real Mass ◽  
Spin Representations ◽  
Spin Contribution

We use the generators of complex angular momentum in complex c3 space and derive the realizations of the homogeneous Lorentz group for nonzero real mass, zero mass, and imaginary mass systems. We use the appropriate little group for different systems to calculate the modifications in the spin contribution to angular momentum and the unphysical continuous spin representations are shown to be eliminated. We diagonalize the helicity operator in c3 space and obtain the generators of complex angular-momentum operators, which are shown to lead, in a general manner, to the standard helicity representations of the Poincare group for timelike and spacelike systems.

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