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...
Main Authors: | , , , , |
---|---|
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 |