Dynamical supersymmetry breaking and phase diagram of the lattice Wess-Zumino model

TL;DR

This paper investigates dynamical supersymmetry breaking and phase transitions in a 2D N=1 Wess-Zumino model using non-perturbative lattice methods, providing a rigorous approach to identify the transition point.

Contribution

It introduces a lattice-based non-perturbative method to determine the supersymmetry phase transition point through rigorous bounds on ground state energy density.

Findings

Transition point accurately determined

Good agreement with Monte Carlo simulations

Method provides rigorous bounds on ground state energy

Abstract

We study dynamical supersymmetry breaking and the transition point by non-perturbative lattice techniques in a class of two-dimensional N=1 Wess-Zumino model. The method is based on the calculation of rigorous lower bounds on the ground state energy density in the infinite-lattice limit. Such bounds are useful in the discussion of supersymmetry phase transition. The transition point is determined with this method and then compared with recent results based on large-scale Green Function Monte Carlo simulations with good agreement.