MHV Vertices And Tree Amplitudes In Gauge Theory

TL;DR

This paper introduces a novel method for calculating tree-level Yang-Mills amplitudes using MHV vertices, simplifying computations and connecting to twistor space insights.

Contribution

It presents a new formalism replacing Feynman graphs with MHV vertices, offering simpler formulas for tree amplitudes in gauge theory.

Findings

Simplified formulas for tree amplitudes in Yang-Mills theory.

Connection established between MHV vertex formalism and twistor space.

Potential for more efficient amplitude calculations.

Abstract

As an alternative to the usual Feynman graphs, tree amplitudes in Yang-Mills theory can be constructed from tree graphs in which the vertices are tree level MHV scattering amplitudes, continued off shell in a particular fashion. The formalism leads to new and relatively simple formulas for many amplitudes, and can be heuristically derived from twistor space.