On restricting first order form of gauge theories to one-loop order

The first order form of the Yang-Mills and Einstein-Hilbert actions are quantized, it is shown how Green's functions computed using second these theories related. Next we show by use Lagrange multiplier fields (LM), radiative effects beyond one-loop can be eliminated. This allows one to compute exactly without loss unitarity. consequences this restriction on examined for actions. In two gauge theories, find that quantized theory both renormalizable unitary once LM field used eliminate order.