The Propagators of Gauge Bosons on a lattice

Abstract

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 $ρ$-parameter the very small value $ρ\sim 10^{-6}$.