CONFORMAL PHASE-TRANSITION IN GAUGE-THEORIES

The conception of the conformal phase transiton (CPT), which is releva nt for the description of nonperturbative dynamics in gauge theories, is introduced and elaborated. The main features of such a phase transi tion are established. In particular, it is shown that in the CPT there is an abrupt change of the spectrum of light excitations at the criti cal point, though the phase transition is continuous. The structure of the effective action describing the CPT is elaborated and its connect ion with the dynamics of the partially conserved dilatation current is pointed out. The applications of these results to QCD, models of dyna mical electroweak symmetry breaking, and to the description of the pha se diagram in (3 + 1)-dimensional SU(N-c) gauge theories are considere d.