The Color--Flavor Transformation of induced QCD

Abstract

The color-flavor transformation is applied to the U(N) lattice gauge model, in which the gauge theory is induced by a heavy chiral scalar field sitting on lattice sites. The flavor degrees of freedom can encompass several `generations' of the auxiliary field, and for each generation, remaining indices are associated with the elementary plaquettes touching the lattice site. The effective, color-flavor transformed theory is expressed in terms of gauge singlet matrix fields carried by lattice links. The effective action is analyzed for a hypercubic lattice in arbitrary dimension. The saddle points equations of the model in the large-N limit are discussed.Comment: 16 pages, 4 eps figures. Talk given by the second author at the 5th International Conference "Quark confinement and the hadron spectrum", Gargnano, Garda Lake, 10-14 September 200