Abstract
We suggest that large phenomenological flavor groups can be described in terms of noninvariance groups (ghost symmetries). The idea is elucidated on the example of spinor models built upon associated fiber bundles. The base space is a model of space-time, the fibers are Hermitian spheres; the latter are isomorphic to coset spaces, . These models describe an unbounded number of spinor fields on space-time, coupled minimally to gauge fields. The ghost symmetry groups supported by such models are analyzed in detail on a model based on U(3)/U(2). The models are (superficially) renormalizable.
- Received 9 January 1978
DOI:https://doi.org/10.1103/PhysRevD.17.2048
©1978 American Physical Society