Yung A.V. (PNPI)

r-Duality and "Instead - of - Confinement" Mechanism in N=1 Supersymmetric QCD

We consider N=2 QCD with the U(N) gauge group and N_f flavors (N_f>N). We study r-vacua with the number of condensed (s)quarks r in the interval $\frac{2}{3}N_f < r \le N$. To pass to N=1 QCD we introduce an N=2-breaking deformation, a mass term \mu for the adjoint matter, eventually decoupling the adjoint matter in the limit of large \mu. If one starts from a large value of the parameter \xi\sim\mu m, where the original theory is at weak coupling, and let \xi decrease one hits a crossover transition from weak to strong coupling (here m is a typical value of the quark masses). Below this transition the original theory is described in terms of a weakly coupled infrared-free r dual theory with the U(N_f-r) gauge group and N_f light quark-like dyon flavors. Dyon condensation leads to confinement of monopoles, defying a naive expectation of quark confinement. The quarks and gauge bosons of the original theory are in an instead-of-confinement'' phase. The r and Seiberg dualities are demonstrated to coincide in the r=N vacua. In the \frac{2}{3}N_f