Direct computational approach to lattice supersymmetric quantum mechanics

Direct computational approach to lattice supersymmetric quantum mechanics

We study the lattice supersymmetric models numerically using the transfer matrix approach. This method consists only of deterministic processes and has no statistical uncertainties. We improve it by performing a scale transformation of variables such that the Witten index is correctly reproduced fro...

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Main Authors: Daisuke Kadoh, Katsumasa Nakayama
Format: Article
Language:English
Published: Elsevier 2018-07-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318301366
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spelling doaj-4b991d11f629485d93896658af6f359c2020-11-24T21:38:53ZengElsevierNuclear Physics B0550-32132018-07-01932278297Direct computational approach to lattice supersymmetric quantum mechanicsDaisuke Kadoh0Katsumasa Nakayama1Research and Educational Center for Natural Sciences, Keio University, Yokohama, 223-8521, Japan; Corresponding author.Department of Physics, Nagoya University, Nagoya, 464-8602, Japan; KEK Theory Center, High Energy Accelerator Research Organization (KEK), Tsukuba, 305-0801, JapanWe study the lattice supersymmetric models numerically using the transfer matrix approach. This method consists only of deterministic processes and has no statistical uncertainties. We improve it by performing a scale transformation of variables such that the Witten index is correctly reproduced from the lattice model, and the other prescriptions are shown in detail. Compared to the precious Monte-Carlo results, we can estimate the effective masses, SUSY Ward identity and the cut-off dependence of the results in high precision. Those kinds of information are useful in improving lattice formulation of supersymmetric models.http://www.sciencedirect.com/science/article/pii/S0550321318301366
collection DOAJ
language English
format Article
sources DOAJ
author Daisuke Kadoh
Katsumasa Nakayama
spellingShingle Daisuke Kadoh
Katsumasa Nakayama
Direct computational approach to lattice supersymmetric quantum mechanics
Nuclear Physics B
author_facet Daisuke Kadoh
Katsumasa Nakayama
author_sort Daisuke Kadoh
title Direct computational approach to lattice supersymmetric quantum mechanics
title_short Direct computational approach to lattice supersymmetric quantum mechanics
title_full Direct computational approach to lattice supersymmetric quantum mechanics
title_fullStr Direct computational approach to lattice supersymmetric quantum mechanics
title_full_unstemmed Direct computational approach to lattice supersymmetric quantum mechanics
title_sort direct computational approach to lattice supersymmetric quantum mechanics
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2018-07-01
description We study the lattice supersymmetric models numerically using the transfer matrix approach. This method consists only of deterministic processes and has no statistical uncertainties. We improve it by performing a scale transformation of variables such that the Witten index is correctly reproduced from the lattice model, and the other prescriptions are shown in detail. Compared to the precious Monte-Carlo results, we can estimate the effective masses, SUSY Ward identity and the cut-off dependence of the results in high precision. Those kinds of information are useful in improving lattice formulation of supersymmetric models.
url http://www.sciencedirect.com/science/article/pii/S0550321318301366
work_keys_str_mv AT daisukekadoh directcomputationalapproachtolatticesupersymmetricquantummechanics
AT katsumasanakayama directcomputationalapproachtolatticesupersymmetricquantummechanics
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