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arXiv · 1904.09275

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

Daisuke Kadoh·Takeru Kamei·Hiroto So
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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.

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Daisuke Kadoh, Takeru Kamei, Hiroto So. 2019-04-19. Numerical analyses of N=2 supersymmetric quantum mechanics with cyclic Leibniz rule on lattice. https://doi.org/10.1093/ptep/ptz053

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