Mass Relation Between Top and Bottom Quarks

In the framework of the recently proposed electroweak theory on a Planck lattice, we are able to solve approximately the lattice Dyson equation for the fermion self-energy functions, and obtain the ratio between the masses of the $t-$ and $b-$ quarks in terms of the electroweak coupling constants. The predicted top mass agrees with recent determinations from electroweak observables.Comment: To appear in Phys. Lett. B, 8 pages + 3 figure

Getting Around the Nielsen-Ninomiya Theorem, towards the Rome Approach

The ``no-go'' theorem of Nielsen and Ninomiya has been the most tenacious obstacle against the construction of a chiral gauge theory with reasonable low energy spectrum, couplings and anomaly. In this paper we construct a model which supplements the usual (bilinear in the Fermi fields) lagrangian with quadrilinear fermionic terms. We show that in a certain region of the parameter space the difficulties of the ``no-go'' theorem may be overcome, and a ``renormalized'' perturbative strategy can be carried out, akin to the one followed in the Rome Approach (RA), whose counterterms are forced to be gauge invariant.Comment: LaTex 12 pages, the version to appear in Phys. Lett.

The Pomeron in QCD

In the framework of Anisotropic Chromodynamics, a non-perturbative realization of QCD, we develop the Low-Nussinov picture of the Pomeron. In this approach all the usual problems of low pT perturbative calculations (infrared divergence) are naturally absent. Thus, we are able to perform an ab initio calculation of the hadron-hadron total cross section. The result is a cross section of the same magnitude as indicated experimentally and approximately energy-independent (with a log^2 s growth). We further discuss the pT dependence of the hadron-hadron elastic-scattering cross section, which displays all the experimentally observed features.Comment: 8 pages (LaTeX, plus 4 postscript figures in a separate file), report number MITH 94/13 *** Replaced figures file with uuencoded, compressed, tarred version **

The emergence of a heavy quark family on a lattice

Abstract Within the framework of the "Rome approach" for a lattice chiral gauge theory, the four-quark interaction with flavour symmetry is included. We analyse spontaneous symmetry breaking and compute composite modes and their contributions to the ground state energy. As a result, it is shown that the emergence of a heavy quark family is the energetically favoured solution