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.

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

References in corpus (6)

• Multi-Parton Amplitudes in Gauge Theories
• Progress in One-Loop QCD Computations
• The self-dual sector of QCD amplitudes
• Four-Dimensional Avatars of Two-Dimensional RCFT
• Scattering of Plane Waves in Self-Dual Yang-Mills Theory
• Multigluon Tree Amplitudes and Self-Duality Equation

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