Perturbative Study of the Supersymmetric Lattice Theory from Matrix Model

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

2005-06-13

arxiv.org/abs/hep-lat/0506014v4

Phys.Rev. D72 (2005) 074504

Physics

High Energy Physics

High Energy Physics - Lattice

36 pages, 18 figures; typos corrected, some definitions added, appendix including feynman dyagram deleted

Scientific paper

10.1103/PhysRevD.72.074504

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. We also find that the supersymmetry plays an important role in stabilizing the lattice space-time by the deconstruction.

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