Mass spectra in ${\cal N}=1$ SQCD with additional colorless fields. Strong coupling regimes. II

TL;DR

This paper analyzes the mass spectra of strongly coupled ${ m N}=1$ SQCD-like theories with additional scalars, comparing direct and dual models in various vacua, revealing parametric differences in their spectra.

Contribution

It extends previous studies to theories with $N_F > 3N_c$, calculating and comparing mass spectra in direct and dual models within a specific dynamical scenario.

Findings

Mass spectra differ parametrically between direct and dual theories.

The scenario confirms the confinement or Higgs phases for quarks.

Spectra calculations support the scenario's validity in strong coupling regimes.

Abstract

This paper continues our studies in arXiV:1608.06452 [hep-th] of ${\cal N}=1$ gauge theories in the strongly coupled regimes. We also consider here the ${\cal N}=1$ SQCD-like theories with $SU(N_c)$ colors (and their Seiberg's dual), with $N_F$ flavors of light quarks and $N_F^2$ additional colorless flavored scalars $\Phi^j_i$, but now with $N_F$ in the range $N_F>3N_c$. The mass spectra of these direct and dual theories in various vacua are calculated within the dynamical scenario introduced by the author in [8]. It assumes that quarks in such ${\cal N}=1$ SQCD-like theories without elementary colored adjoint scalars can be in two {\it standard} phases only. These are either the HQ (heavy quark) phase where they are confined or the Higgs phase. Recall that this scenario satisfies all those tests which were used as checks of the Seiberg hypothesis about the equivalence of the direct and dual theories. Calculated mass spectra of the direct $SU(N_c)$ theory are compared to those of its Seiberg's dual $SU(N_F-N_c)$ variant and appeared to be parametrically different.