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The lattice gluon propagator in stochastic perturbation theory

Presenter: Arwed Schiller — Universitaet Leipzig

E.-M.Ilgenfritz, H. Perlt, A. Schiller

We calculate loop contributions up to four loops to the Landau gauge gluon propagator in numerical stochastic perturbation theory. For different lattice volumes we carefully extrapolate the Euler time step to zero for the Langevin dynamics derived from the Wilson action. The one-loop result is compared to the infinite volume limit of standard lattice perturbation theory.