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$\mathcal{N}=1$ Supersymmetric $SU(3)$ Gauge Theory -- Pure Gauge sector with a twist

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arxiv 1811.01785 v1 pith:RYXVALXC submitted 2018-11-05 hep-lat

classification hep-lat
keywords gaugelatticepuresectorsimilarsupersymmetrictheoriestwist
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Supersymmetric gauge theories are an essential part of most theories beyond the standard model. In the present work we investigate the pure gauge sector of Super-QCD focusing on the bound states, i.e. mesonic gluinoballs, gluino-glueballs and pure glueballs. To improve chiral properties and to minimize breaking of supersymmetry at finite lattice spacing, we introduce a deformed Super-Yang-Mills lattice action. It contains a twist term, similar to the twisted-mass formulation of lattice QCD. We furthermore explore if the multigrid method (DD$\alpha$AMG solver) applied to the gluinos (adjoint Majorana fermions) achieves similar improvements as in QCD.

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