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

## TL;DR

This paper investigates N=2 supersymmetric quantum mechanics on a lattice using a cyclic Leibniz rule and numerical transfer matrix methods, showing the model closely approximates continuum behavior.

## Contribution

It introduces a numerical approach to lattice supersymmetry via the cyclic Leibniz rule and compares its effectiveness with other lattice actions.

## Key findings

- Energy spectra match continuum theory more closely.
- Supersymmetric Ward-Takahashi identities are well preserved.
- Model exhibits similar behavior to continuum theory.

## 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.