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Analysis of Ward identities in supersymmetric Yang-Mills theory

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arxiv 1802.07067 v2 pith:GQAE6FH6 submitted 2018-02-20 hep-lat

Sajid Ali , Georg Bergner , Henning Gerber , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior This is my paper · ORCID
classification hep-lat
keywords supersymmetricidentitieswardanalysislatticetheoryyang-millsnumerical
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abstract

In numerical investigations of supersymmetric Yang-Mills theory on a lattice, the supersymmetric Ward identities are valuable for finding the critical value of the hopping parameter and for examining the size of supersymmetry breaking by the lattice discretisation. In this article we present an improved method for the numerical analysis of supersymmetric Ward identities, which takes into account the correlations between the various observables involved. We present the first complete analysis of supersymmetric Ward identities in $\mathcal{N}=1$ supersymmetric Yang-Mills theory with gauge group SU(3). The results show that lattice artefacts scale to zero as $O(a^2)$ towards the continuum limit in agreement with theoretical expectations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The mass of the gluino-glue bound state in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang-Mills theory

    hep-lat 2024-12 conditional novelty 7.0 of 10

    A first-principles lattice calculation determines the mass of the gluino-glue bound state in N=1 supersymmetric Yang-Mills theory in the large-N limit.

  2. The gluino condensate of large-$N$ SUSY Yang-Mills

    hep-lat 2024-12 conditional novelty 4.0 of 10

    The large-N SUSY gluino condensate is computed on the lattice for the first time and agrees, within errors, with the weak-coupling instanton value.

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