Strong and weak interactions in a simple field-theoretical model

Abstract

An exactly renormalizable model of quantum fields, introduced earlier by Th. W. Ruijgrok and the present author, is considered for large but finite cut-off. It gives rise to strong and weak interaction effects. In the limit of infinite cut-off the weak interactions vanish and the strong interactions obey a certain symmetry law. This symmetry is violated by the weak interactions. It is emphasized that none of these properties is explicitly present in the hamiltonian of the theory, the form of which could hardly be guessed from the behaviour of the system at energies well below the cut-off.