A new Wilson Line-based classical action for gluodynamics

Abstract

We develop a new classical action that in addition to $\mathrm{MHV}$ vertices contains also ${\mathrm{N}}^{\mathrm{k}}\mathrm{MHV}$ vertices, where $1\le k\le n-4$ 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.

Presented at RADCOR-LoopFest 2021. Submitted to SciPost