Supersymmetry breaking in two dimensions: the lattice N=1 Wess-Zumino model

TL;DR

This paper investigates dynamical supersymmetry breaking in two-dimensional N=1 Wess-Zumino models using non-perturbative lattice methods, combining analytical and numerical approaches to analyze the phase diagram.

Contribution

It introduces a combined analytical and numerical lattice approach to study supersymmetry breaking in 2D models, providing new insights into their phase structure.

Findings

Identification of phases with broken and unbroken supersymmetry

Validation of strong-coupling expansions against numerical simulations

Evidence of non-perturbative effects in supersymmetry breaking

Abstract

We study dynamical supersymmetry breaking by non perturbative lattice techniques in a class of two-dimensional N=1 Wess-Zumino models. We work in the Hamiltonian formalism and analyze the phase diagram by analytical strong-coupling expansions and explicit numerical simulations with Green Function Monte Carlo methods.