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Article
Reflection groups and internal-symmetry algebras
It is shown that to discrete Abelian reflection groups in pseudo-Euclidean space there correspond, in spinor index space, non-Abelian groups whose anticommuting elements build up Lie algebras; in particular, t...
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Article
Weyl and conformal covariant field theories
It is shown that, by imposing covariance with respect to the 11-parameter Weyl group, most of the known renormalizable field theories, and only these, are obtained and that they admit, locally in the Minkowski...
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Article
On conformally covariant spinor field equations
A spinor field equation, covariant with respect to the general conformal group (including reflections), should consist in general of not less than eight linear equations and then, in Minkowski space, could be ...
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Article
On Conformal Spinors
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Article
Genesis of unified models from Majorana-Weyl fields
It is proposed that all forms of interaction arise from elementary ones between Weyl-Majorana fields. Weak interactions due to the high masses of the intermediate bosons are practically identical to the elemen...
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Chapter and Conference Paper
On Dynamical Symmetry Breaking For Leptons
Starting from massless Majorana-Weyl multiplets considered as limit of short distance interacting Dirac spinors, models of dynamical symmetry breaking are proposed. In the first model (for leptons), based on S...
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Article
On composite gauge fields and dynamical symmetry breaking
Considering biquadratic Lagrangians of the Fermi type as the low-energy limit of a renormalizable Yang-Mills gauge theory, the possibility of composite-state formation is studied. It is shown that the composit...
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Article
On gauge fields as bound states
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Article
Properties of possible composite lepton states induced by neutrinos
In the hypothesis that the long-range forces due to exchange of neutrino pairs between leptons remain unaltered up to distances of the order of the square root of the Fermi coupling constant, the possibility o...
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Article
On possible composite lepton states induced by neutrinos
Starting from the weak diagonal lepton Lagragian, a Bethe-Salpeter equation for the study of lepton bound states is set up. It is shown on general grounds that for aV−A current-current Lagrangian the free-lepton-...
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Article
On a possible origin of finite quantum electrodynamics from weak interactions
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Article
Regularization of quantum electrodynamics through non-polynomial Lagrangians
A model for regularizing quantum electrodynamics through a non-polynominal Lagrangian describing the interaction of the electron field with an auxiliary field is given. A gauge invariant Lagrangian density is ...
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Article
Empirical test of tensor-meson dominance
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Article
Regularization of quantum electrodynamics through nonpolynomial Lagrangians
A model for regularizing quantum electrodynamics through a nonpolynomial Lagrangian describing the interaction of the electron field with an auxiliary field is given. A gauge-invariant Lagrangian density is ob...
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Article
A covariant vertex for nonrelativistic bound states
The covariant deseription of the centre-of-mass motion for a composite system with nonrelativistic internal motion is given, together with the vertex for its interaction with an external field. For low momentu...
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Article
On the algebraic formulation of dynamical models
An algebraic method for the solution of some dynamical problems for a nonrelativistic system with known symmetry properties is given, in the case of the so-called broken symmetry. Examples of solvable models a...
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Chapter and Conference Paper
Algebraic Formulation of Dynamical Problems
The extension of Wigner supermultiplet theory of isospin to unitary symmetry has led to the consideration of SU(6) as the fundamental symmetry group for hadron physics [1]. By this extension, such a phenomenon...
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Article
Noncompact extensions of symmetry groups
A method is proposed for the determination of the energy spectrum of a quantum-mechanical system with algebraic methods based on the knowledge of its symmetry properties. The proposed method is applied to simp...
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Article
Maximal degenerate system dynamics
It is shown that for a «maximally degenerate» system for which the energy multiplet builds up a most degenerate representation of the symmetry group, the dynamical problem can be solved with purely group-theor...
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Article
Green functions from lie algebras
