[en] The renormalization group equation for the generating functional of Green's functions is derived in the theory, includign composite fields of the type PHI² (PHI is the Bose field). The asymptotics of the effective potential is found in the asymptotically free theories. For the case of Yang-Mills theory of the field, interacting with the fermion field it is shown, that the stability requirements of the theory (understood as the potential confinement from below) leads to the restriction in the multiplet content of fermions. It is argued that some particles necessarily acquire dynamical mass in a stable, asymptotically free gauge theory with zero bare masses of all the particles