Self-dual Yang--Mills Theory and One-Loop Maximally Helicity Violating Multi-Gluon Amplitudes

Abstract

A scalar cubic action that classically reproduces the self-dual Yang--Mills equations is shown to generate one-loop QCD amplitudes for external gluon all with the same helicity. This result is related to the symmetries of the self-dual Yang--Mills equations.

Comments: 20 pages, LaTeX2e, elsart, no figures. Final version, to appear in Nucl. Phys. B. Section 3 has been expanded and remodelled. A note has been added to comment on subsequent works by Chalmers and Siegel and Korepin and Oota