Numerical Investigation of the 2D N=2 Wess-Zumino Model

TL;DR

This study investigates lattice formulations of the 2D N=2 Wess-Zumino model, comparing discretizations with and without supersymmetry, analyzing mass degeneracy, and examining perturbative and non-perturbative results.

Contribution

It provides a comparative analysis of lattice discretizations, highlights issues with the Nicolai improvement, and presents new fermionic mass results at intermediate couplings.

Findings

Nicolai improvement introduces simulation problems.

Bosonic and fermionic mass degeneracy is checked.

Deviations from perturbative results are observed at intermediate couplings.

Abstract

We study lattice formulations of the two-dimensional N=2 Wess-Zumino model with a cubic superpotential. Discretizations with and without lattice supersymmetries are compared. We observe that the "Nicolai improvement" introduces new problems to simulations of the supersymmetric model. With high statistics we check the degeneracy of bosonic and fermionic masses on the lattice. Perturbative mass corrections to one-loop order are compared with continuum extrapolations of our lattice results in the weakly coupled regime. For intermediate couplings first results of fermionic masses in the continuum are presented where deviations from the perturbative result are observed.