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

Abstract

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.

arXiv comment25 Latex pages, 5 figures

References in corpus (16)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• An Algorithm for Gluinos on the Lattice
• Large Softly broken N=2 QCD
• Exotic Non-Supersymmetric Gauge Dynamics from Supersymmetric QCD
• Softly Broken N=2 QCD with Massive Quark Hypermultiplets, I
• Confinement, Supersymmetry Breaking and Theta Parameter Dependence in the Seiberg-Witten Model
• More on softly broken N=2 QCD
• Exact Results in Softly Broken Supersymmetric Models
• Phase Transitions in Softly Broken N=2 SQCD at Non-zero Theta Angle
• Exact Results And Soft Breaking Masses In Supersymmetric Gauge Theory
• Controlled Soft Breaking of N=1 SQCD
• Gauge Symmetry Breaking through Soft Masses in Supersymmetric Gauge Theories
• Gluinos on the lattice: quenched calculations
• Hybrid Molecular Dynamics for Lattice Supersymmetry

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