arXiv subjects
Publications and source records attributed to Norma Mankoc Borstnik.
The proof is presented that the Poincare symmetry determines the equations of motion for massless particles of any spin in 2n-dimensional spaces, which are linear in the momentum.
One of us got spins and charges of not only scalars and vectors but also of spinors out of fields, which are antisymmetric tensor fields. Kahler got spins of spinors out of differential forms, which again are antisymmetric tensor fields. Using our simple Grassmann formulation of spins and charges of either spinors or vectors and comparing it to the Dirac-Kahler formulation of spinors, we generalize the Dirac-Kahler approach to vector internal degrees of freedom and to charges of either spinors or vectors and tenzors and point out how at all spinors can appear in both approaches.
The Proceedings collects the results of ten days of discussions on the open questions of the Standard electroweak model as well as the review of the introductory talks, connected with the discussions.
It is shown, by using Grassmann space to describe the internal degrees of freedom of fermions and bosons, that the Weyl like equation exists not only for massless fermions but also for massless gauge bosons. The corresponding states have well defined helicity and handedness. It is shown that spinors and gauge bosons of the same handedness only interact.
In space of d ordinary and d Grassmann coordinates, with d \ge 15, the charges unify with the spin: the Lorentz group SO(1, d-1) in Grassmann space manifests under certain conditions as SO(1,3) (in d=4 subspace) times SO(10) \supset SU(3) \times SU(2) \times U(1) (in the rest of the space), accordingly the symmetry group of the S- matrix, which is approximatelly unitary in d=4 ordinary subspace, manifests as the direct product of the Poincaré group in d=4 subspace and the group describing charges. (Talk presented at XIX Triangular Meeting on Recent Development in Quantum Theories, Rome, March 1996 and at IWCQIS 96, Dubna, July 1996.)