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arXiv · 1711.05504

Ward identities in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice

Sajid Ali·Georg Bergner·Henning Gerber·Pietro Giudice·Istvan Montvay·Gernot Münster·Stefano Piemonte·Philipp Scior
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Abstract

The introduction of a space-time lattice as a regulator of field theories breaks symmetries associated with continuous space-time, i.e.\ Poincar{\'e} 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.

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Sajid Ali, Georg Bergner, Henning Gerber, Pietro Giudice, Istvan Montvay, Gernot Münster, Stefano Piemonte, Philipp Scior. 2017-11-15. Ward identities in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice. https://doi.org/10.1051/epjconf%2F201817508003

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