  The ordinary formalism for classical field theory is applied to dynamical
group field theories. Focusing first on a local group field theory over one
copy of SU(2) and, then, on more involved nonlocal theories (colored and non
colored) defined over a tensor product of the same group, we address the issue
of translation and dilatation symmetries and the corresponding Noether theorem.
The energy momentum tensor and dilatation current are derived and their
properties identified for each case.
