Analysis of Ward identities in supersymmetric Yang-Mills theory

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.

arXiv comment10 pages, 3 figures, revised version as being published

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Cited by in corpus (14)

• Numerical results for the lightest bound states in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Lattice studies of supersymmetric gauge theories
• Scale setting for large-$N$ SUSY Yang-Mills on the lattice
• Supersymmetric QCD: Renormalization and Mixing of Composite Operators
• Variational analysis of low-lying states in supersymmetric Yang-Mills theory
• Gauge-invariant Renormalization of the Gluino-Glue operator
• Continuum extrapolation of Ward identities in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Perturbative renormalization of the supercurrent operator in lattice $\mathcal{N}=1$ supersymmetric Yang-Mills theory
• Exploring gauge theories with adjoint matter on the lattice
• Gradient flow representation of the four-dimensional $\mathcal{N}=2$ super Yang--Mills supercurrent
• Renormalization and Mixing of the Gluino-Glue Operator on the Lattice
• $\mathcal{N}=1$ Super-Yang-Mills theory on the lattice with twisted mass fermions
• Nonperturbative renormalization of the supercurrent in $\mathcal{N}=1$ Supersymmetric Yang-Mills Theory
• Baryonic states in $\mathcal{N}=1$ supersymmetric SU(2) Yang-Mills theory on the lattice