Study of dynamical supersymmetry breaking for the two dimensional lattice Wess-Zumino model

TL;DR

This paper introduces a new method for studying phase transitions in two-dimensional lattice Wess-Zumino models by calculating rigorous lower bounds on ground state energy, aligning well with Monte Carlo simulation results.

Contribution

The paper presents a novel approach using lower bounds on ground state energy to analyze supersymmetry phase transitions in lattice models.

Findings

Accurately determines the supersymmetry transition point.

Shows good agreement with Monte Carlo simulation results.

Provides a rigorous mathematical framework for phase transition analysis.

Abstract

A new approach to the study of the transition point in a class of two dimensional Wess-Zumino models is presented. 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 then determined and compared with recent results based on large-scale Green Function Monte Carlo simulations with good agreement.