Some Remarks about Dynamical Asymmetry

Abstract

Model equations are studied for the purpose of gaining some understanding about the possible origins of strong $\mathrm{SU}\left(3\right)\mathrm{}$ breaking. The equations are response equations in the octet space of $\mathrm{SU}\left(3\right)\mathrm{}$. They have full $\mathrm{SU}\left(3\right)\mathrm{}$ symmetry apart from electromagnetic and weak driving terms. A class of equations is described for which, amongst others, solutions exist such that (1) they are tilted with respect to the plane defined by the driving forces, thereby generating the formal equivalent of a Cabibbo angle, and (2) large asymmetries occur in a direction which is the one of hypercharge up to electromagnetic corrections.