https://doi.org/10.1051/epjconf/201817508003
Ward identities in N = 1 supersymmetric SU(3) Yang-Mills theory on the lattice
1
Institut für Theoretische Physik, Universität Münster, Wilhelm-Klemm-Str. 9, D-48149 Münster
2
Theoretisch-Physikalisches Institut, Universität Jena, Max-Wien-Platz 1, D-07743 Jena
3
Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, D-22603 Hamburg
4
Institute for Theoretical Physics, Universität Regensburg, Universitätsstr. 31, D-93053 Regensburg
* Speaker, E-mail: sajid.ali@uni-muenster.de
Published online: 26 March 2018
The introduction of a space-time lattice as a regulator of field theories breaks symmetries associated with continuous space-time, i.e. Poincaré invariance and supersymmetry. A non-zero gluino mass in the supersymmetric Yang-Mills theory causes an additional soft breaking of supersymmetry. We employ the lattice form of SUSY Ward identities, imposing that their continuum form would be recovered when removing the lattice regulator, to obtain the critical hopping parameter where broken symmetries can be recovered.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
