  We analyse the problem of the generation of mass in the gauge boson sector on
the (Planck) lattice. We obtain a dynamical scenario quite similar to the
popular Higgs-mechanism, with the important difference that no Higgs-type
excitation is present in our theory. By fixing the mass of the $Z^\circ$-boson
and the renormalized gauge couplings at their experimental values, we get for
the top quark mass $m_t\simeq 149$GeV and for the $\rho$-parameter the very
small value $\rho\sim 10^{-6}$.
