  We perform a canonical transformation of fields that brings the Yang-Mills
action in the light-cone gauge to a new classical action, which does not
involve any triple-gluon vertices. The lowest order vertex is the four-point
MHV vertex. Higher point vertices include the MHV and $\overline{\textrm{MHV}}$
vertices, that reduce to the corresponding amplitudes in the on-shell limit. In
general, any $n$-leg vertex has $2\leq m \leq n-2$ negative helicity legs. The
canonical transformation of fields can be compactly expressed in terms of
path-ordered exponentials of fields and their functional derivative. We apply
the new action to compute several tree-level amplitudes, up to 8-point NNMHV
amplitude, and find agreement with the standard methods. The absence of
triple-gluon vertices results in fewer diagrams required to compute amplitudes,
when compared to the CSW method and, obviously, considerably fewer than in the
standard Yang-Mills action.
