Isotopic liftings of Clifford algebras and applications in elementary particle mass matrices - Mathematical PhysicsReportar como inadecuado




Isotopic liftings of Clifford algebras and applications in elementary particle mass matrices - Mathematical Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: Isotopic liftings of algebraic structures are investigated in the context ofClifford algebras, where it is defined a new product involving an arbitrary,but fixed, element of the Clifford algebra. This element acts as the unit withrespect to the introduced product, and is called isounit. We constructisotopies in both associative and non-associative arbitrary algebras, andexamples of these constructions are exhibited using Clifford algebras, whichalthough associative, can generate the octonionic, non-associative, algebra.The whole formalism is developed in a Clifford algebraic arena, giving also thenecessary pre-requisites to introduce isotopies of the exterior algebra. Theflavor hadronic symmetry of the six u,d,s,c,b,t quarks is shown to be exact,when the generators of the isotopic Lie algebra su6 are constructed, and theunit of the isotopic Clifford algebra is shown to be a function of the sixquark masses. The limits constraining the parameters, that are entries of therepresentation of the isounit in the isotopic group SU6, are based on themost recent limits imposed on quark masses.



Autor: Roldao da Rocha, Jayme Vaz Jr

Fuente: https://arxiv.org/







Documentos relacionados