The Propagators of Gauge Bosons on a lattice

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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

Scientific paper

10.1016/0370-2693(94)90521-5

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 $\rho\sim 10^{-6}$.

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