Spontaneous supersymmetry breaking in the two-dimensional N=1 Wess-Zumino model

TL;DR

This paper investigates the phase structure of the 2D N=1 Wess-Zumino model on the lattice, revealing the ground state configurations, particle spectrum, and spontaneous supersymmetry breaking phenomena including the Goldstino emergence.

Contribution

It provides a comprehensive nonperturbative analysis of the model's ground states and spectrum, especially across the supersymmetry breaking transition, using lattice simulations.

Findings

Identification of the phase diagram and ground states.

Observation of the Goldstino particle in the broken phase.

Determination of the particle spectrum in different phases.

Abstract

We study the phase diagram of the two-dimensional N=1 Wess-Zumino model on the lattice using Wilson fermions and the fermion loop formulation. We give a complete nonperturbative determination of the ground state structure in the continuum and infinite volume limit. We also present a determination of the particle spectrum in the supersymmetric phase, in the supersymmetry broken phase and across the supersymmetry breaking phase transition. In the supersymmetry broken phase we observe the emergence of the Goldstino particle.