Numerical analyses of supersymmetric quantum mechanics with a cyclic Leibniz rule on a lattice 36th Int. Symp. Lattice Field Theory (Lattice 2018)

Daisuke Kadoh (Department of Physics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand) ; Takeru Kamei (Graduate School of Science and Engineering, Ehime University, Matsuyama 790-8577, Japan) ; Hiroto So (Physics Department, Ehime University, Matsuyama 790-8577, Japan)

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 supersymmetric quantum mechanics with the interaction for weak and strong couplings. The computed energy spectra and supersymmetric Ward–Takahashi identities are compared to those obtained from another lattice action. We find that a model with the cyclic Leibniz rule behaves similarly to the continuum theory compared to the other lattice action.

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      "value": "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  supersymmetric quantum mechanics with the  interaction for weak and strong couplings. The computed energy spectra and supersymmetric Ward\u2013Takahashi identities are compared to those obtained from another lattice action. We find that a model with the cyclic Leibniz rule behaves similarly to the continuum theory compared to the other lattice action."
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Published on:
23 June 2019
Publisher:
OUP
Published in:
Progress of Theoretical and Experimental Physics , Volume 2019 (2019)
Issue 6
Article ID: 063B03
DOI:
https://doi.org/10.1093/ptep/ptz053
arXiv:
1904.09275
Copyrights:
© The Author(s) 2019. Published by Oxford University Press on behalf of the Physical Society of Japan.
Licence:
CC-BY-4.0

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