Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams

TL;DR

This paper demonstrates that all tree-level amplitudes in gauge theories can be efficiently computed using scalar MHV diagrams, simplifying calculations compared to traditional Feynman diagrams.

Contribution

It applies the scalar MHV diagram formalism to gauge fields and fermions, confirming its effectiveness and extending its applicability to generic gauge theories.

Findings

Agreement with known results for tree amplitudes

Simplification over traditional Feynman diagram calculations

Applicable to gauge theories with or without supersymmetry

Abstract

It was proposed in hep-th/0403047 that all tree amplitudes in pure Yang-Mills theory can be constructed from known MHV amplitudes. We apply this approach for calculating tree amplitudes of gauge fields and fermions and find agreement with known results.The formalism amounts to an effective scalar perturbation theory which offers a much simpler alternative to the usual Feynman diagrams in gauge theory and can be used for deriving new simple expressions for tree amplitudes. At tree level the formalism works in a generic gauge theory, with or without supersymmetry, and for a finite number of colours.