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Complete supersymmetry on the lattice and a No-Go theorem: A simulation with intact supersymmetries on the lattice
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In this work a lattice formulation of a supersymmetric theory is proposed and tested that preserves the complete supersymmetry on the lattice. The results of a one-dimensional nonperturbative simulation show the realization of the full supersymmetry and the correct continuum limit of the theory. It is proven that the violation of supersymmetry due to the absence of the Leibniz rule on the lattice can be amended only with a nonlocal derivative and nonlocal interaction term. The fermion doubling problem is also discussed, which leads to another important source of supersymmetry breaking on the lattice. This problem is also solved with a nonlocal realization.
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N=1 Supersymmetric QCD on the lattice using overlap fermions
A chirally symmetric overlap lattice action for N=1 SQCD is constructed by introducing auxiliary fermion fields that are integrated out, yielding new ultralocal interaction terms.
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