L. Alvarezgaume et al., SOFTLY BROKEN N=2 QCD WITH MASSIVE QUARK HYPERMULTIPLETS, II, International journal of modern physics A, 13(11), 1998, pp. 1847-1880
We analyze the vacuum structure of N = 2, SU(2) QCD with massive quark
hypermultiplets, once supersymmetry is softly broken down to N = 0 wi
th dilaton and mass spurions. We give general expressions for the low
energy couplings of the effective potential in terms of elliptic funct
ions to have a complete numerical control of the model. We study in de
tail the possible phases of the theories with N-f = 1, 2 flavors for d
ifferent values of the bare quark masses and the supersymmetry breakin
g parameters and we find a rich structure of first order phase transit
ions. The chiral symmetry breaking pattern of the N-f = 2 theory is co
nsidered, and we obtain the pion Lagrangian for this model up to two d
erivatives. Exact expressions are given for the pion mass and F-pi in
terms of the magnetic monopole description of chiral symmetry breaking
.