Phase transitions between confinement and higgs phases in ${\cal N}=1\,\, SU(N_c)$ SQCD with $1\leq N_F\leq N_c-1$ quark flavors

Abstract

Considered is ${\cal N}=1$ supersymmetric $SU(N_c)$ QCD (SQCD) with $1\leq N_F\leq N_c-1$ equal mass quark flavors in the fundamental representation. Using a number of independent arguments for different variants of transition between the confinement and higgs regimes, it is shown that transitions between these regimes are not crossovers but the phase transitions. These are counterexamples to a widely spread opinion, originating from the paper of E. Fradkin and S.H. Shenker [10], about absence of the phase transition between the confinement and higgs phases.Comment: 10 pages, title and abstract changed, text expanded, argumentation strengthened, results unchange