Dynamical generation of mass in the D=(2+1) Wess-Zumino model

TL;DR

This paper investigates how mass can be dynamically generated in a three-dimensional massless supersymmetric Wess-Zumino model, revealing supersymmetry breaking and mass generation through two-loop quantum corrections.

Contribution

It demonstrates the perturbative dynamical mass generation in a supersymmetric model, contrasting with non-supersymmetric scalar theories, and shows supersymmetry breaking via effective potential analysis.

Findings

Supersymmetry is dynamically broken in the model.

Discrete symmetry A(x) -> - A(x) is broken.

Mass is generated perturbatively after two-loop corrections.

Abstract

In this work we study the dynamical generation of mass in the massless N=1 Wess-Zumino model in a three dimensional spacetime. Using the tadpole method to compute the effective potential, we observe that supersymmetry is dynamicaly broken together with the discrete symmetry A(x) -> - A(x). We show that this model, differently from non-supersymmetric scalar models, exhibits a consistent perturbative dynamical generation of mass after two loop corrections to the effective potential.