Abstract
In this article we summarise our results from numerical simulations of mathcal{N}=1 supersymmetric Yang-Mills theory with gauge group SU(3). We use the formulation of Curci and Veneziano with clover-improved Wilson fermions. The masses of various bound states have been obtained at different values of the gluino mass and gauge coupling. Extrapolations to the limit of vanishing gluino mass indicate that the bound states form mass-degenerate supermultiplets.
Highlights
Project we have mainly considered SYM with gauge group SU(2)
The removal of the leading order lattice cut-off terms from the fermion action is crucial in this case, since lattice artefacts lead to an explicit supersymmetry breaking
From our previous investigations we have found that the clover improved fermion action is definitively a better choice than the unimproved stout smeared Wilson fermions used in our first simulations [9]
Summary
Supersymmetric SU(3) Yang-Mills theory describes gluons, the particles associated with the non-Abelian gauge field for gauge group SU(3), and their superpartners, the gluinos. It is expected that in the continuum the particles described by this theory are bound states of gluons and gluinos, that form supermultiplets degenerate in their masses, if supersymmetry is unbroken. The corresponding gauge action is the Wilson action built from the plaquette variables Up. The gluinos are described by Wilson fermions in the adjoint representation. In our current simulations we have implemented the clover term in order to reduce the leading lattice artefacts of the Wilson fermion action. We have used the one-loop value for the coefficient csw [14], leading to a one-loop O(a) improved lattice action. This is a systematic and feasible approach for setting the clover coefficient.
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