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

Understand

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.