Worldgraph Approach to Yang-Mills Amplitudes from N=2 Spinning Particle

TL;DR

This paper introduces a novel worldline approach using N=2 spinning particles to compute Yang-Mills amplitudes, ensuring gauge invariance and simplifying loop calculations, with potential for higher-point and higher-loop extensions.

Contribution

It develops a new worldline formalism based on N=2 spinning particles that naturally incorporates gauge invariance and ghosts for Yang-Mills amplitude calculations.

Findings

Constructed tree and one-loop Yang-Mills amplitudes

Manifest background gauge invariance achieved

Extended worldline approach for higher-point and higher-loop amplitudes

Abstract

By coupling the N=2 spinning particle to background vector fields, we construct Yang-Mills amplitudes for trees and one loop. The vertex operators are derived through coupling the BRST charge; therefore background gauge invariance is manifest, and the Yang-Mills ghosts are automatically included in loop calculations by worldline ghosts. Inspired by string calculations, we extend the usual worldline approach to incorporate more "generalized" 1D manifolds. This new approach should be useful for constructing higher-point and higher-loop amplitudes.