Complete supersymmetry on the lattice and a No-Go theorem: A simulation with intact supersymmetries on the lattice

Details Complete supersymmetry on the lattice and a No-Go theorem: A simulation with intact supersymmetries on the lattice Complete supersymmetry on the lattice and a No-Go theorem: A simulation with intact supersymmetries on the lattice

2009-09-28

arxiv.org/abs/0909.4791v2

JHEP 1001:024,2010

Physics

High Energy Physics

High Energy Physics - Lattice

31 pages, 5 figures; mass data and references corrected,

Scientific paper

10.1007/JHEP01(2010)024

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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