A new Wilson Line-based classical action for gluodynamics

TL;DR

This paper introduces a novel classical action for gluodynamics that incorporates a broader set of vertices using Wilson line functionals, simplifying amplitude calculations compared to traditional methods.

Contribution

It presents a new Wilson line-based classical action for gluodynamics that includes N^kMHV vertices, reducing the number of vertices needed for amplitude calculations.

Findings

Fewer vertices than CSW method for amplitude calculations

No three-point vertex in the new action

Simplifies gluodynamics amplitude computations

Abstract

We develop a new classical action that in addition to $\mathrm{MHV}$ vertices contains also $\mathrm{N^kMHV}$ vertices, where $1\leq k \leq n-4$ with $n$ the number of external legs. The lowest order vertex is the four-point MHV vertex -- there is no three point vertex and thus the amplitude calculation involves fewer vertices than in the CSW method and, obviously, considerably fewer than in the standard Yang-Mills action. The action is obtained by a canonical transformation of the Yang-Mills action in the light-cone gauge, where the field transformations are based on the Wilson line functionals.