Probing Non-perturbative Supersymmetry Breaking through Lattice Path Integrals

TL;DR

This paper explores non-perturbative supersymmetry breaking in quantum mechanics models, including PT-invariant models, using lattice path integrals and Monte Carlo simulations to analyze symmetry breaking.

Contribution

It introduces a lattice path integral approach combined with Monte Carlo methods to study supersymmetry breaking in quantum mechanical models, including PT-invariant cases.

Findings

Evidence of supersymmetry breaking in studied models

Validation of Ward identities as probes for symmetry breaking

Demonstration of lattice path integrals effectiveness in non-perturbative analysis

Abstract

We investigate non-perturbative supersymmetry breaking in various models of quantum mechanics, including an interesting class of $PT$-invariant models, using lattice path integrals. These theories are discretized on a temporal Euclidean lattice with anti-periodic boundary conditions. Hybrid Monte Carlo algorithm is used to update the field configurations to their equilibrium values. We used the Ward identities and expectation values of superpotentials as tools for probing supersymmetry breaking.