Classical solutions of a massless Wess-Zumino model

TL;DR

This paper analyzes the classical solutions of the massless Wess-Zumino model, revealing how bosonic and fermionic fields behave under different energy and coupling regimes, with implications for supersymmetry preservation.

Contribution

It provides a detailed current expansion of the classical equations of motion and explores the model's behavior in various energy and coupling limits, highlighting supersymmetry preservation and breaking.

Findings

Bosonic fields acquire mass at low energy

Fermion fields share the same mass at small coupling

Different equations of motion emerge at infinite coupling

Abstract

We provide a current expansion for the classical equations of motion of the massles Wess-Zumino model. In the low-energy limit, there appears a massive behavior for bosonic degrees of freedom and, at small coupling, the fermion field shows the same mass and supersymmetry is overall preserved. In the limit of the coupling running to infinity, the fermion field displays a different equation of motion, a Nambu-Jona-Lasinio-like one, and we cannot draw an identical conclusion.