Continuum extrapolation of Ward identities in [Formula omitted] supersymmetric SU Yang-Mills theory

In [Formula omitted] 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 u...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2020-06, Vol.80 (6)
Hauptverfasser: Ali, Sajid, Bergner, Georg, Gerber, Henning, Montvay, Istvan, Münster, Gernot, Piemonte, Stefano, Scior, Philipp
Format: Artikel
Sprache:eng
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Zusammenfassung:In [Formula omitted] 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 [Formula omitted] and of the hopping parameter [Formula omitted]. The results clearly indicate that the lattice artefacts vanish in the continuum limit, confirming the restoration of supersymmetry.
ISSN:1434-6044
DOI:10.1140/epjc/s10052-020-8113-5