Two-Dimensional Wess-Zumino Models at Intermediate Couplings

TL;DR

This study investigates two-dimensional N=(2,2) Wess-Zumino models at intermediate couplings, evaluating lattice supersymmetry improvements and their effectiveness with different fermion discretizations, and confirms correct fermion mass reproduction in the continuum limit.

Contribution

It provides a detailed comparison of lattice supersymmetry improvement schemes and fermion discretizations, demonstrating their impact on simulation accuracy at intermediate couplings.

Findings

Nicolai improvement fails for Wilson fermions but improves SLAC fermions.

Models with three fermion species reproduce correct continuum fermion masses without improvements.

Refined algorithms enable reliable mass extraction beyond perturbation theory.

Abstract

We consider the two-dimensional N=(2,2) Wess-Zumino model with a cubic superpotential at weak and intermediate couplings. Refined algorithms allow for the extraction of reliable masses in a region where perturbation theory no longer applies. We scrutinize the Nicolai improvement program which is supposed to guarantee lattice supersymmetry and compare the results for ordinary and non-standard Wilson fermions with those for SLAC derivatives. It turns out that this improvement completely fails to enhance simulations for Wilson fermions and only leads to better results for SLAC fermions. Furthermore, even without improvement terms the models with all three fermion species reproduce the correct values for the fermion masses in the continuum limit.