Hierarchic chiral condensate

Using the Schwinger-Dyson gap equation a chiral condensate is discussed in theories having a slowly varying running-coupling constant. It is shown that if the coupling strength λ remains close to a certain critical value λ_c up to a large scale Λ, a chiral condensate may occur with the hierarchic nature σ(0)/Λ ≈ exp[ - π/(λ - λ _c) ^{1}/{2}] , σ(0) being the fermion d ynamical mass at zero-momentum. It is pointed out that such a condensate provides a possible solution to the flavor-changing neutral-current problem in the technicolor theory.