Journal Article

PUBDB-2021-00590

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Continuum extrapolation of Ward identities in ${{\mathcal {N}}=1}$ supersymmetric SU(3) Yang–Mills theory

Ali, S. (Corresponding author) ; Bergner, G. ; Gerber, H. ; Montvay, I.DESY* ; Münster, G. ; Piemonte, S. ; Scior, P.

2020
Springer Heidelberg

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Please use a persistent id in citations: doi:10.1140/epjc/s10052-020-8113-5  doi:10.3204/PUBDB-2021-00590

Report No.: MS-TP-20-17; arXiv:2003.04110

Abstract: In ${\mathcal {N}}=1$ supersymmetric Yang–Mills theory, regularised on a space-time lattice, in addition to the breaking by the gluino mass term, supersymmetry is broken explicitly by the lattice regulator. In addition to the parameter tuning in the theory, the supersymmetric Ward identities can be used as a tool to investigate lattice artefacts as well as to check whether supersymmetry can be recovered in the chiral and continuum limits. In this paper we present the numerical results of an analysis of the supersymmetric Ward identities for our available gauge ensembles at different values of the inverse gauge coupling $\beta $ and of the hopping parameter $\kappa $. The results clearly indicate that the lattice artefacts vanish in the continuum limit, confirming the restoration of supersymmetry.

Keyword(s): gauge field theory: Yang-Mills ; Yang-Mills: supersymmetry ; space-time: lattice ; coupling: gauge ; gluino: mass ; Ward identity ; continuum limit ; numerical calculations ; regularization ; hopping ; chiral ; SU(3)

Note: Eur. Phys. J. C 80 (2020) 548. version published in Eur. Phys. J. C

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2020

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