Supersymmetric lattice models in one and two dimensions

Details Supersymmetric lattice models in one and two dimensions Supersymmetric lattice models in one and two dimensions

2007-09-06

arxiv.org/abs/0709.0822v2

PoSLAT2007:265,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 3 figures, poster presented at XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensbu

Scientific paper

We study and simulate N=2 supersymmetric Wess-Zumino models in one and two dimensions. For any choice of the lattice derivative, the theories can be made manifestly supersymmetric by adding appropriate improvement terms corresponding to discretizations of surface integrals. In particular, we check that fermionic and bosonic masses coincide and the unbroken Ward identities are fulfilled to high accuracy. Equally good results for the effective masses can be obtained in a model with the SLAC derivative (even without improvement terms). In two dimensions we introduce a non-standard Wilson term in such a way that the discretization errors of the kinetic terms are only of order a squared. Masses extracted from the corresponding manifestly supersymmetric model prove to approach their continuum values much quicker than those from a model containing the standard Wilson term. Again, a comparable enhancement can be achieved in a theory using the SLAC derivative.

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