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.

Details

Title
Scale setting for large-N SUSY Yang-Mills on the lattice
Author
Butti, Pietro 1 ; Pérez, Margarita García 2 ; González-Arroyo, Antonio 1   VIAFID ORCID Logo  ; Ishikawa, Ken-Ichi 3 ; Okawa, Masanori 4 

1  Instituto de Física Teórica UAM-CSIC, Madrid, Spain (GRID:grid.501798.2) (ISNI:0000 0004 0561 6576); Universidad Autónoma de Madrid, Departamento de Física Teórica, Madrid, Spain (GRID:grid.5515.4) (ISNI:0000000119578126) 
2  Instituto de Física Teórica UAM-CSIC, Madrid, Spain (GRID:grid.501798.2) (ISNI:0000 0004 0561 6576) 
3  Hiroshima University, Core of Research for the Energetic Universe, Graduate School of Advanced Science and Engineering, Higashi-Hiroshima, Japan (GRID:grid.257022.0) (ISNI:0000 0000 8711 3200); Hiroshima University, Graduate School of Advanced Science and Engineering, Higashi-Hiroshima, Japan (GRID:grid.257022.0) (ISNI:0000 0000 8711 3200) 
4  Hiroshima University, Graduate School of Advanced Science and Engineering, Higashi-Hiroshima, Japan (GRID:grid.257022.0) (ISNI:0000 0000 8711 3200) 
Pages
74
Publication year
2022
Publication date
Jul 2022
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP07(2022)074
ProQuest document ID
2848485545
Copyright
© The Author(s) 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.