On gaugino condensation in the effective theory

TL;DR

This paper investigates how matter interactions influence gaugino condensation in N=1 supersymmetric SU(N) theories, revealing that such interactions can alter the condensation behavior in the low-energy limit.

Contribution

It introduces an analysis of matter interaction effects on gaugino condensation using the Nambu-Jona-Lasinio scheme, extending previous pure Yang-Mills results.

Findings

Matter interactions modify gaugino condensation conditions.

Inclusion of $O(1/v)$ terms affects the low-energy dynamics.

Gaugino condensation can be influenced by matter field interactions.

Abstract

We analyze the gaugino condensation in the effective theory for N=1 SU(N) Supersymmetric QCD with $N_{f}$ flavors. It is known that taking the vacuum expectation value of the matter field to be infinite, we can show that gaugino condensation can occur. At such a limit we should consider only pure supersymmetric Yang-Mills theory. But when we include an interaction term of order $O(\frac{1}{v})$, the situation can change. We analyze the effect of this interaction term and examine the gaugino condensation in the low energy Yang-Mills theory by using the scheme of Nambu-Jona-Lasinio.