Toy Model for Breaking Super Gauge Theories at the Effective Lagrangian Level

TL;DR

This paper introduces a toy model demonstrating how super QCD can transition to ordinary QCD through supersymmetry breaking, highlighting the decoupling of superpartners and the emergence of familiar QCD degrees of freedom.

Contribution

It presents a simplified model illustrating the decoupling mechanism of gluinos and squarks in supersymmetry breaking, connecting super QCD to ordinary QCD at the effective Lagrangian level.

Findings

Effective Lagrangian transitions from super QCD to QCD

Decoupling of gluinos and squarks below supersymmetry breaking scale

Emergence of ordinary QCD degrees of freedom from auxiliary fields

Abstract

We propose a toy model to illustrate how the effective Lagrangian for super QCD might go over to the one for ordinary QCD by a mechanism whereby the gluinos and squarks in the fundamental theory decouple below a given supersymmetry breaking scale $m$. The implementation of this approach involves a suitable choice of possible supersymmetry breaking terms. An amusing feature of the model is the emergence of the ordinary QCD degrees of freedom which were hidden in the auxiliary fields of the supersymmetric effective Lagrangian.