Numerical analyses of N=2 supersymmetric quantum mechanics with cyclic Leibniz rule on lattice

Abstract

We study a cyclic Leibniz rule, which provides a systematic approach to lattice supersymmetry, using a numerical method with a transfer matrix. The computation is carried out in N=2 supersymmetric quantum mechanics with the phi^6-interaction for weak and strong couplings. The computed energy spectra and supersymmetric Ward-Takahashi identities are compared with those obtained from another lattice action. We find that a model with the cyclic Leibniz rule behaves similarly to the continuum theory compared with the other lattice action.

37 pages, 12 figures and 8 tables

References in corpus (5)

• Low-dimensional Supersymmetric Lattice Models
• Euclidean lattice simulation for the dynamical supersymmetry breaking
• Taming the Leibniz Rule on the Lattice
• Exact Lattice Supersymmetry at the Quantum Level for $N=2$ Wess-Zumino Models in 1- and 2-Dimensions
• Supersymmetry restoration in lattice formulations of 2D $\mathcal{N}=(2,2)$ WZ model based on the Nicolai map

Cited by in corpus (3)

• Lattice studies of supersymmetric gauge theories
• Complex Langevin Dynamics and Supersymmetric Quantum Mechanics
• Probing Non-perturbative Supersymmetry Breaking through Lattice Path Integrals