Chiral Symmetry Breaking for Fundamental Fermions

This talk gives an overview of the recent development in the study of non-perturbative fermion-boson vertex in quenched QED towards achieving that the fermion propagator satisfies the Ward-Takahashi identity, is multiplicatively renormalizable, agrees with perturbation theory for weak couplings and has a critical coupling for dynamical mass generation that is strictly gauge independent. The use of such a vertex may lead to a realistic calculation of t(tbar) condensates as the source of electroweak symmetry breaking. (Talk given at The Advanced Study Institute on Frontiers in Particle Physics, Cargese, Ajaccio, France, August 1-13, 1994.)