New "Electric" Description of Supersymmetric Quantum Chromodynamics

TL;DR

This paper proposes a new 'electric' perspective on supersymmetric QCD, demonstrating a superpotential that explains chiral symmetry breaking and vacuum structure, addressing previous instability claims in the magnetic formulation.

Contribution

It introduces a novel effective superpotential for electric SQCD that accounts for nonperturbative effects and preserves holomorphic decoupling, expanding understanding of its vacuum structure.

Findings

Superpotential induces chiral symmetry breaking with residual nonabelian symmetry.

Holomorphic decoupling property is maintained in the proposed model.

Vacuum structure for N_f=N_c is consistent with instanton effects.

Abstract

Responding to the recent claim that the origin of moduli space may be unstable in "magnetic" supersymmetric quantum chromodynamics (SQCD) with N_f <= 3N_c/2 (N_c>2) for N_f flavors and N_c colors of quarks, we explore the possibility of finding nonperturbative physics for "electric" SQCD. We present a recently discussed effective superpotential for "electric" SQCD with N_c+2 <= N_f <= 3N_c/2 (N_c>2) that generates chiral symmetry breaking with a residual nonabelian symmetry of SU(N_c)_{L+R}xSU(N_f-N_c)_Lx SU(N_f-N_c)_R. Holomorphic decoupling property is shown to be respected. For massive N_f-N_c quarks, our superpotential with instanton effect taken into account produces a consistent vacuum structure for SQCD with N_f=N_c compatible with the holomorphic decoupling.