Supersymmetric nonperturbative formulation of the WZ model in lower dimensions

TL;DR

This paper introduces a nonperturbative, supersymmetry-preserving formulation of the Wess-Zumino model in lower dimensions using momentum-mode truncation, enabling potential Monte Carlo simulations while maintaining key symmetries.

Contribution

It presents a novel nonperturbative approach that preserves supersymmetry and global symmetries, with a consistent local structure and a Nicolai map for simulation in two dimensions.

Findings

Preserves full supersymmetry and translational invariance

Consistent with locality to all orders of perturbation theory

Provides a Nicolai map for Monte Carlo simulations in 2D

Abstract

A nonperturbative formulation of the Wess-Zumino (WZ) model in two and three dimensions is proposed on the basis of momentum-modes truncation. The formulation manifestly preserves full supersymmetry as well as the translational invariance and all global symmetries, while it is shown to be consistent with the expected locality to all orders of perturbation theory. For the two-dimensional WZ model, a well-defined Nicolai map in the formulation provides an interesting algorithm for Monte Carlo simulations.