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

Comments: to appear in Phys. Lett. 10 pages (TeX) and 1 figure, MITH 93/11