Mass Spectrum in SQCD and Problems with the Seiberg Duality. Another Scenario

TL;DR

This paper analyzes the mass spectra of N=1 SQCD and its Seiberg dual, revealing significant differences under certain parameter regimes, challenging the assumed equivalence of dual theories.

Contribution

It provides a detailed comparison of mass spectra in direct and dual SQCD theories, highlighting discrepancies when specific small parameters are present.

Findings

Mass spectra differ parametrically in certain regimes.

Seiberg duality may not hold universally in these scenarios.

Different phases of quarks lead to distinct spectral outcomes.

Abstract

N=1 SQCD with SU(N_c) colors and N_F flavors of light quarks is considered within the dynamical scenario which assumes that quarks can be in two different phases only. These are: a) either the HQ (heavy quark) phase where they are confined, b) or they are higgsed, at the appropriate values of parameters of the Lagrangian. The mass spectra of this (direct) theory and its Seiberg's dual are obtained and compared, for quarks of equal or unequal masses. It is shown that in all cases when there is the additional small parameter at hand (it is 0<(3N_c-N_F)/N_F << 1 for the direct theory, or its analog 0<(2N_F-3N_c)/N_F << 1 for the dual one), the mass spectra of the direct and dual theories are parametrically different. A number of other regimes are also considered.