Dynamical symmetry breaking with large anomalous dimension in semisimple chiral gauge theories

An analysis is given of the dynamical symmetry breaking of semisimple chiral gauge groups. We construct a class of chiral gauge theories for the dynamically broken top-color and technicolor interactions. It is shown in the framework of the Schwinger-Dyson equation that a four-Fermi interaction in the strong coupling phase emerges by the tumbling of semisimple gauge groups in the low energy region. We have a first order phase transition for the SU(3) X SU(3) tumbling and have a second order phase transition for the SU(9) X SU(3) tumbling. In our models the top-color interaction provides the top quark with a large anomalous dimension.