998 research outputs found
Flavour mixing and mass matrices via anticommuting properties
Five anticommuting property coordinates can accommodate all the known
fundamental particles in their three generations plus more. We describe the
points of difference between this scheme and the standard model and show how
flavour mixing arises through a set of expectation values carried by a single
Higgs superfield.Comment: 12 pages, LaTe
Dirac-K\"ahler approach connected to quantum mechanics in Grassmann space
We compare the way one of us got spinors out of fields, which are a priori
antisymmetric tensor fields, to the Dirac-K\"ahler rewriting. Since using our
Grassmann formulation is simple it may be useful in describing the
Dirac-K\"ahler formulation of spinors and in generalizing it to vector internal
degrees of freedom and to charges. The ``cheat'' concerning the Lorentz
transformations for spinors is the same in both cases and is put clearly
forward in the Grassmann formulation. Also the generalizations are clearly
pointed out. The discrete symmetries are discussed, in particular the
appearance of two kinds of the time-reversal operators as well as the
unavoidability of four families.Comment: 36 page
Unification of spins and charges in Grassmann space and in space of differential forms
Polynomials in Grassmann space can be used to describe all the internal
degrees of freedom of spinors, scalars and vectors, that is their spins and
charges. It was shown that K\"ahler spinors, which are polynomials of
differential forms, can be generalized to describe not only spins of spinors
but also spins of vectors as well as spins and charges of scalars, vectors and
spinors. If the space (ordinary and noncommutative) has 14 dimensions or more,
the appropriate spontaneous break of symmetry leads gravity in dimensions
to manifest in four dimensional subspace as ordinary gravity and all needed
gauge fields as well as the Yukawa couplings. Both approaches, the K\"ahler's
one (if generalized) and our, manifest four generations of massless fermions,
which are left handed SU(2) doublets and right handed SU(2) singlets. In this
talk a possible way of spontaneously broken symmetries is pointed out on the
level of canonical momentum.Comment: 26 pages, no figure
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