  New terms are derived for the three-dimensional effective action of the
static modes of pure gauge SU(N) at high temperature. In previous works,
effective vertices have been obtained by evaluating diagrams involving 2, 3 or
4 external static gluons with one internal nonstatic loop. I take a somewhat
different approach by making a covariant derivative expansion of the one loop
effective action for the static modes, keeping all terms involving up to six
covariant derivatives. The resulting effective action is manifestly invariant
under spatially dependent gauge transformations and contains new 5- and 6-point
effective vertices.
