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

TL;DR

This paper introduces a scalar cubic action that reproduces self-dual Yang--Mills equations and generates one-loop all-helicity-gluon amplitudes in QCD, linking symmetries to amplitude calculations.

Contribution

It presents a novel scalar action framework that connects self-dual Yang--Mills symmetries to one-loop gluon amplitudes in QCD.

Findings

Scalar cubic action reproduces self-dual Yang--Mills equations

Generates one-loop all-helicity-gluon amplitudes in QCD

Highlights symmetry relations in amplitude calculations

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.