ABSTRACT

A kind of symmetry concerning the properties of the different types of interactions with respect to the certain group is noteworthy: all the three types of interactions, strong, electromagnetic and weak are invariant under an SU2 subgroup of U3. Two assumptions are made: the bulk of the strong interactions is invariant under the group U3 (unitary symmetry); and the weak interactions are mediated by weakly coupled vector mesons. The question then is raised whether or not the weak interactions and their intermediate bosons also have something to do with the group U3. The chapter presents what these connections could be and how they could be observed. It shows the generality of the suggestion and of the accompanying proof, which does not depend on the particular representation chosen for the w's among the several possible ones.