INTERPOLATING LAGRANGIANS AND SU(2) GAUGE-THEORY ON THE LATTICE

We apply the linear delta-expansion to non-Abelian gauge theory on the lattice, with SU(2) as the gauge group. We establish an appropriate parametrization and evaluate the average plaquette energy E(P) to O(delta). As a check on our results, we recover the large-beta expansion up to O(1/bet-2), which involves some O(delta-2) contributions. Using these contributions we construct a variant of the 1/beta-expansion which gives a good fit to the data down to the transition region.