Aspects of Dynamical Symmetry Breaking on a Lattice
Abstract
In the context of four-fermion and gauge interactions, the Schwinger-Dyson equation for the fermion self-energy function is studied with the Wilson fermion on a lattice. We find that the critical line obtained by Bardeen, Leung and Love is modified. No additional Goldstone bosons appear in the spectrum of fundamental particles. Massive solutions to the Schwinger-Dyson equation turn out to be possible for a small gauge coupling.
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