Internal symmetries and ghost symmetries

A new approach to the problem of internal symmetries is suggested. We conjecture that broken internal symmetries of high order required by the quark phenomenology of high-energy processes correspond to certain noninvariance groups (ghost symmetries) arising as the result of an interplay between the dynamical and geometrical aspects of quark models. This conjecture is examined on the example of a theory possessing an SU(2) gauge symmetry. Fermion (quark) fields are constructed on the principal fiber bundle suitable for the geometrical description of this gauge model. The quark Lagrangian supports representations of unitary ghost-symmetry groups $\mathrm{U}\mathrm{}\left(N\right)\mathrm{}$; $N$ is unbounded from above. Some qualitative consequences of such models are analyzed. In particular, we conjecture that certain quark selection rules arise as a consequence of a correspondence between broken internal symmetries and ghost-symmetry groups.