https://doi.org/10.1140/epjc/s10052-018-5887-9
Regular Article - Theoretical Physics
Analysis of Ward identities in supersymmetric Yang–Mills theory
1
Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149, Münster, Germany
2
Department of Physics, Government College University Lahore, Lahore, 54000, Pakistan
3
Institute for Theoretical Physics, University of Jena, Max-Wien-Platz 1, 07743, Jena, Germany
4
Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607, Hamburg, Germany
5
Institute for Theoretical Physics, University of Regensburg, Universitätsstr. 31, 93040, Regensburg, Germany
* e-mail: munsteg@uni-muenster.de
Received:
27
February
2018
Accepted:
10
May
2018
Published online:
22
May
2018
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 
supersymmetric Yang–Mills theory with gauge group SU(3). The results indicate that lattice artefacts scale to zero as 
towards the continuum limit in agreement with theoretical expectations.
© The Author(s), 2018
