Continuum extrapolation of Ward identities in $${{\mathcal {N}}=1}$$ supersymmetric SU(3) Yang–Mills theory
Sajid Ali (Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, Münster, 48149, Germany, Department of Physics, Government College University Lahore, Lahore, 54000, Pakistan); Georg Bergner (Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, Münster, 48149, Germany, Institute for Theoretical Physics, University of Jena, Max-Wien-Platz 1, Jena, 07743, Germany); Henning Gerber (Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, Münster, 48149, Germany); Istvan Montvay (Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, Hamburg, 22607, Germany); Gernot Münster (Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, Münster, 48149, Germany); et al - Show all 7 authors
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.
