Scale setting for large-N SUSY Yang-Mills on the lattice

Abstract In this paper we study the large N limit of four-dimensional Supersymmetric Yang-Mills on the lattice using twisted reduced models. We have generated configurations with dynamical massive gluinos and various lattice ’t Hooft couplings, and verified that the Pfaffian remains positive. We hav...

Full description

Bibliographic Details
Main Authors: Pietro Butti, Margarita García Pérez, Antonio González-Arroyo, Ken-Ichi Ishikawa, Masanori Okawa
Format: Article
Language:English
Published: SpringerOpen 2022-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2022)074
_version_ 1811293639565901824
author Pietro Butti
Margarita García Pérez
Antonio González-Arroyo
Ken-Ichi Ishikawa
Masanori Okawa
author_facet Pietro Butti
Margarita García Pérez
Antonio González-Arroyo
Ken-Ichi Ishikawa
Masanori Okawa
author_sort Pietro Butti
collection DOAJ
description Abstract In this paper we study the large N limit of four-dimensional Supersymmetric Yang-Mills on the lattice using twisted reduced models. We have generated configurations with dynamical massive gluinos and various lattice ’t Hooft couplings, and verified that the Pfaffian remains positive. We have determined the lattice spacing in terms of various observables obtaining compatible results. Extrapolating to the massless gluino limit we obtain the lattice spacing dependence on the bare couplings for the supersymmetric theory. The observed dependence goes along the expected behaviour predicted by perturbation theory.
first_indexed 2024-04-13T05:05:26Z
format Article
id doaj.art-7114f2a9ac0c489e9c16e1d6c2589274
institution Directory Open Access Journal
issn 1029-8479
language English
last_indexed 2024-04-13T05:05:26Z
publishDate 2022-07-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj.art-7114f2a9ac0c489e9c16e1d6c25892742022-12-22T03:01:12ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022715210.1007/JHEP07(2022)074Scale setting for large-N SUSY Yang-Mills on the latticePietro Butti0Margarita García Pérez1Antonio González-Arroyo2Ken-Ichi Ishikawa3Masanori Okawa4Instituto de Física Teórica UAM-CSICInstituto de Física Teórica UAM-CSICInstituto de Física Teórica UAM-CSICCore of Research for the Energetic Universe, Graduate School of Advanced Science and Engineering, Hiroshima UniversityGraduate School of Advanced Science and Engineering, Hiroshima UniversityAbstract In this paper we study the large N limit of four-dimensional Supersymmetric Yang-Mills on the lattice using twisted reduced models. We have generated configurations with dynamical massive gluinos and various lattice ’t Hooft couplings, and verified that the Pfaffian remains positive. We have determined the lattice spacing in terms of various observables obtaining compatible results. Extrapolating to the massless gluino limit we obtain the lattice spacing dependence on the bare couplings for the supersymmetric theory. The observed dependence goes along the expected behaviour predicted by perturbation theory.https://doi.org/10.1007/JHEP07(2022)0741/N ExpansionLattice Quantum Field TheoryOther Lattice Field TheoriesSupersymmetric Gauge Theory
spellingShingle Pietro Butti
Margarita García Pérez
Antonio González-Arroyo
Ken-Ichi Ishikawa
Masanori Okawa
Scale setting for large-N SUSY Yang-Mills on the lattice
Journal of High Energy Physics
1/N Expansion
Lattice Quantum Field Theory
Other Lattice Field Theories
Supersymmetric Gauge Theory
title Scale setting for large-N SUSY Yang-Mills on the lattice
title_full Scale setting for large-N SUSY Yang-Mills on the lattice
title_fullStr Scale setting for large-N SUSY Yang-Mills on the lattice
title_full_unstemmed Scale setting for large-N SUSY Yang-Mills on the lattice
title_short Scale setting for large-N SUSY Yang-Mills on the lattice
title_sort scale setting for large n susy yang mills on the lattice
topic 1/N Expansion
Lattice Quantum Field Theory
Other Lattice Field Theories
Supersymmetric Gauge Theory
url https://doi.org/10.1007/JHEP07(2022)074
work_keys_str_mv AT pietrobutti scalesettingforlargensusyyangmillsonthelattice
AT margaritagarciaperez scalesettingforlargensusyyangmillsonthelattice
AT antoniogonzalezarroyo scalesettingforlargensusyyangmillsonthelattice
AT kenichiishikawa scalesettingforlargensusyyangmillsonthelattice
AT masanoriokawa scalesettingforlargensusyyangmillsonthelattice