Ward identities in N = 1 supersymmetric SU(3) Yang-Mills theory on the lattice

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...

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Bibliographic Details
Published in:EPJ Web of conferences 2018-01, Vol.175, p.8003
Main Authors: Ali, Sajid, Bergner, Georg, Gerber, Henning, Giudice, Pietro, Montvay, István, Münster, Gernot, Piemonte, Stefano, Scior, Philipp
Format: Article
Language:English
Subjects:
Relativity
Spacetime
Supersymmetry
Yang-Mills theory
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Summary: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.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201817508003