Continuum extrapolation of Ward identities in N=1 supersymmetric SU(3) Yang–Mills theory

In 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 too...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2020-06, Vol.80 (6)
Main Authors: Ali, Sajid, Bergner, Georg, Gerber, Henning, Montvay, Istvan, Münster, Gernot, Piemonte, Stefano, Scior, Philipp
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Elementary Particles
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Parameters
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Restoration
String Theory
Supersymmetry
Yang-Mills theory
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Summary:In 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 β and of the hopping parameter κ . The results clearly indicate that the lattice artefacts vanish in the continuum limit, confirming the restoration of supersymmetry.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-020-8113-5