Exotic nonsupersymmetric gauge dynamics from supersymmetric QCD

We extend Seiberg’s qualitative picture of the behavior of supersymmetric QCD to nonsupersymmetric models by adding soft supersymmetry-breaking terms. In this way we recover the standard vacuum of QCD with ${\mathit{N}}_{\mathit{f}}$ flavors and ${\mathit{N}}_{\mathit{c}}$ colors when ${\mathit{N}}_{\mathit{f}}$<${\mathit{N}}_{\mathit{c}}$. However, for ${\mathit{N}}_{\mathit{f}}$≥${\mathit{N}}_{\mathit{c}}$, we find new exotic states—new vacua with spontaneously broken baryon number for ${\mathit{N}}_{\mathit{f}}$=${\mathit{N}}_{\mathit{c}}$, and a vacuum state with unbroken chiral symmetry for ${\mathit{N}}_{\mathit{f}}$>${\mathit{N}}_{\mathit{c}}$ These exotic vacua contain massless composite fermions and, in some cases, dynamically generated gauge bosons. In particular Seiberg’s electric-magnetic duality seems to persist also in the presence of (small) soft supersymmetry breaking. We argue that certain, specially tailored, lattice simulations may be able to detect the novel phenomena. Most of the exotic behavior does not survive the decoupling limit of large SUSY-breaking parameters.