A new Wilson Line-based classical action for gluodynamics

Abstract

We develop a new classical action that in addition to MHV vertices contains also N k MHV vertices, where 1 ≤ k ≤ 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.