Vacuum Structure of Softly Broken N=1 Supersymmetric QCD

TL;DR

This paper analyzes the vacuum structure of softly broken N=1 supersymmetric QCD, highlighting the role of trilinear soft breaking terms in symmetry breaking and vacuum multiplicity across different flavor regimes.

Contribution

It provides a detailed study of how soft supersymmetry breaking terms, especially trilinear couplings, influence vacuum configurations in N=1 SQCD with various flavor numbers.

Findings

Trilinear soft breaking terms are crucial for vacuum structure.

Chiral symmetry breaking depends on the magnitude of trilinear couplings.

Multiple vacua exist for N_f ≥ N_c+1, including trivial and non-trivial types.

Abstract

We study softly broken N=1 supersymmetric QCD with the gauge group $SU(N_c)$ and $N_f$ flavors of quark pairs. We investigate vacuum structure of the theory with generic soft supersymmetry breaking terms. Trilinear soft breaking terms play an essential role in determining vacua. For $N_f=N_c+1$, chiral symmetry is broken for a sufficiently large magnitude of trilinear couplings, while it is unbroken in the case with only soft masses. In the case where appearance of trilinear coupling terms is allowed, i.e. for $N_f \geq N_c+1$, we have two possible vacua, the trivial and non-trivial ones. Otherwise, we only have the non-trivial vacuum, which corresponds to the non-trivial vacuum in the $N_f \geq N_c+1$ theory.