A new Wilson line-based classical action for gluodynamics

Abstract

We develop a new classical action that in addition to \mathrm{MHV} M H V vertices contains also \mathrm{N^kMHV} N k M H V vertices, where 1\leq k \leq n-4 1 ≤ k ≤ n − 4 with n 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. 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 Wilson line functionals.