Dynamical symmetry breaking in chiral gauge theories with direct-product gauge groups

We analyze patterns of dynamical symmetry breaking in strongly coupled chiral gauge theories with direct-product gauge groups G. If the gauge coupling for a factor group G(i) subset of G becomes sufficiently strong, it can produce bilinear fermion condensates that break the G(i) symmetry itself and/or break other gauge symmetries G(j) subset of G. Our comparative study of a number of strongly coupled direct-product chiral gauge theories elucidates how the patterns of symmetry breaking depend on the structure of G and on the relative sizes of the gauge couplings corresponding to factor groups in the direct product.