Mathematical structure of dynamical symmetry breaking

Dynamical Symmetry Breaking is studied as an alternative to the Standard Model. A set of dynamical equations are derived for quark and vector particle masses. When the symmetry is broken, massless pseudoscalar boundstates appear. New interactions are necessary to explain the physical mass spectrum. A number of possible models for new physics are studied, and some conditions for new interactions are obtained. Numerical result for several interesting models are presented