Probing Non-perturbative Supersymmetry Breaking through Lattice Path Integrals

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.

Comments: v3: Implemented anti-periodic boundary conditions. No change in results. Version consistent with the journal version. v2: 24 pages; 15 figures. References updated