Spinors
Mostrando 13-15 de 15 artigos, teses e dissertações.
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13. Chronometric cosmology and fundamental fermions
It is proposed that the fundamental fermions of nature are modeled by fields on the chronometric cosmos that are not precisely spinors but become such only in the nonchronometric limit. The imbedding of the scale-extended Poincaré group in the linearizer of the Minkowskian conformal group defines such fields, by induction.
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14. Stability and gap phenomena for Yang-Mills fields
It is shown that any weakly stable Yang-Mills field of type SU2 or SU3 on the four-sphere must be self-dual or anti-self-dual. Any Yang-Mills field on Sn, n ≥ 5, is unstable. Examples of stable fields on S4 and Sn/Γ for n ≥ 5 and Γ ≠ {e} are given. It is also shown that, for any Yang-Mills field R on S4, the pointwise condition ∥R-∥ 2 < 3 (or ∥
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15. Gravitational interaction of hadrons and leptons: Linear (multiplicity-free) bandor and nonlinear spinor unitary irreducible representations of S̄L̄(4R)‡
We review two possible affine extensions of gravity connected to the strong interactions. In the metric affine theory, torsion and nonmetricity do not propagate, gravitation is effectively unmodified, and the observed approximate conservation of hadron intrinsic hypermomentum—i.e., scaling, SU(6), and Regge trajectories—is due to the ḠL̄(4,R) band-spi