Towards N=1 Super-Yang-Mills on the Lattice

Details Towards N=1 Super-Yang-Mills on the Lattice Towards N=1 Super-Yang-Mills on the Lattice

1997-10-17

arxiv.org/abs/hep-lat/9710065v1

Nucl.Phys. B523 (1998) 529-552

Physics

High Energy Physics

High Energy Physics - Lattice

25 Latex pages, 5 figures

Scientific paper

10.1016/S0550-3213(98)00166-7

We consider the lattice regularization of N=1 supersymmetric Yang--Mills theory with Wilson fermions. This formulation breaks supersymmetry at any finite lattice spacing; we discuss how Ward identities can be used to define a supersymmetric continuum limit, which coincides with the point where the gluino becomes massless. As a first step towards the understanding of the zero gluino-mass limit, we present results on the quenched low-lying spectrum of SU(2) N=1 Super-Yang--Mills, at $\beta=2.6$ on a $V=16^3 \times 32$ lattice, in the OZI approximation. Our results, in spite of the quenched and OZI approximations, are in remarkable agreement with theoretical predictions in the supersymmetric theory, for the states with masses which are not expected to get a large contribution from fermion loops.

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