Perturbative Study of the Supersymmetric Lattice Model from Matrix Model

Details Perturbative Study of the Supersymmetric Lattice Model from Matrix Model Perturbative Study of the Supersymmetric Lattice Model from Matrix Model

2005-10-06

arxiv.org/abs/hep-lat/0510037v1

PoS LAT2005 (2005) 271

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 3 figures, talk presented at Lattice 2005 (Theoretical developments)

Scientific paper

We study the lattice model for the supersymmetric Yang-Mills theory in two dimensions proposed by Cohen, Kaplan, Katz, and Unsal. We re-examine the formal proof for the absence of susy breaking counter terms as well as the stability of the vacuum by an explicit perturbative calculation for the case of U(2) gauge group. Introducing fermion masses and treating the bosonic zero momentum mode nonperturbatively, we avoid the infra-red divergences in the perturbative calculation. As a result, we find that there appear mass counter terms for finite volume which vanish in the infinite volume limit so that the theory needs no fine-tuning.

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