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

Physics

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We apply the tadpole and cactus improvement methods to the measurement of the gluon conden- sate 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 sig- nificantly 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.

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