  A first-order formulation of gravity is developed in which the fundamental
fields consist of an SL(2,C) connection and two spinor-valued 1-forms. It is
shown that the first term of an expansion of the Einstein-Hilbert action leads
to an action for these fields which consists of dynamic L2 inner products of
their covariant derivatives, resembling reasonable generalisations of the terms
found in the actions of typical gauge theories on Minkowski spacetime. If
additional terms corresponding to other forces and matter, formulated in the
same manner, are then included, this approach may shed new light on
interactions of gravity with matter and other force carriers.
