Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory

TL;DR

This paper provides a straightforward proof of a tree-level recursion relation in Yang-Mills theory, derived from properties of tree amplitudes, simplifying the understanding of gluon scattering processes.

Contribution

It offers a direct proof of the recursion relation using only tree-level amplitude properties, avoiding reliance on one-loop amplitude structures.

Findings

Recursion relation for tree-level gluon amplitudes proven directly

Simplifies understanding of scattering amplitude calculations

Supports the structure of Yang-Mills theory

Abstract

Recently, by using the known structure of one-loop scattering amplitudes for gluons in Yang-Mills theory, a recursion relation for tree-level scattering amplitudes has been deduced. Here, we give a short and direct proof of this recursion relation based on properties of tree-level amplitudes only.