Color-flavor transformations and QCD low-energy effective action

The color-flavor transformation is applied in the QCD strong coupling limit to construct the effective chiral Lagrangian. The calculations are performed by placing the fermions onto two different sub-lattices and by making use of the long-distance approximation and gradient expansion. The saddle point approximation could be applied on such a double lattice. in this framework the effect of the spontaneous chiral symmetry breaking is described and the numerical values of the chiral condensate, pion decay constant and pion mass are estimated by using the only parameter of model, the lattice spacing a. The effective chiral Lagrangian of QCD is recovered up to the terms of order O(p(4)).