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Investigations of supersymmetric Yang--Mills theories

We present new results from ongoing lattice investigations of supersymmetric Yang--Mills (SYM) theories in three and four space-time dimensions. First considering the maximally supersymmetric 3d theory with $Q = 16$ supercharges, we check that the fermion pfaffian is approximately real and positive, validating phase-quenched RHMC calculations. We then initiate lattice studies of running couplings and non-perturbative $β$ functions for $Q = 16$ SYM in both 3d and 4d, using a simple scheme based on Creutz ratios. Finally, we consider 3d SYM with $Q = 8$ supercharges, developing new software as a first step towards supersymmetric QCD.

preprint2022arXivOpen access
Angel SherletovDavid Schaich
hep-lathep-th
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Angel SherletovDavid Schaich

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