The self-dual sector of QCD amplitudes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pg., plain tex, other formats available at http://insti.physics.sunysb.edu/~siegel/preprints/ or at ftp://max.physics.sun

Scientific paper

10.1103/PhysRevD.54.7628

We provide an action for self-dual Yang-Mills theory which is a simple truncation of the usual Yang-Mills action. Only vertices that violate helicity conservation maximally are included. One-loop amplitudes in the self-dual theory then follow as a subset of the Yang-Mills ones. In light-cone gauges this action is almost identical to previously proposed actions, but in this formulation the vanishing of all higher-loop amplitudes is obvious; the explicit perturbative S-matrix is known. Similar results apply to gravity.

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