Dynamics and symmetries in chiral SU (N) gauge theories

Dynamics and symmetry realization in various chiral gauge theories in four dimensions are investigated, generalizing a recent work by Shifman and the present authors, by relying on the standard 't Hooft anomaly matching conditions and on some other general ideas. These requirements are so strong that the dynamics of the systems are severely constrained. Color-flavor or color-flavor-flavor locking, dynamical Abelianization, and combinations of these are powerful ideas which often lead to solutions of the anomaly matching conditions. Moreover, a conjecture is made on the generation of a mass hierarchy associated with symmetry breaking in chiral gauge theories, which has no analogs in vectorlike gauge theories such as QCD.