Improving the gluon condensate in three-dimensional Yang-Mills theory

We apply the tadpole and cactus improvement methods to the measurement of the gluon condensate of 3D SU(3) Yang-Mills theory. The matching of the lattice measurement to the continuum MS scheme involves the subtraction of a series of lattice artifacts divergent up to four loop, which has recently appeared in the literature. The two tested improvement methods are found to significantly increase the convergence to the continuum. The well-known dominance of tadpole diagrams in lattice perturbation theory is observed to persist at higher orders under the form of “cactus” diagrams.