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Coulomb gauge studies of SU(3) Yang-Mills theory on the lattice

Presenter: Aiko Voigt — Department of Physics, Humboldt University of Berlin, Germany

A. Voigt, E. M. Ilgenfritz, A.Sternbeck, M. Mueller-Preussker

We study the infrared behavior of lattice SU(3) Yang-Mills theory in the Coulomb gauge. We compare the performance of the simulated annealing with the overrelaxation algorithm for the Coulomb gauge fixing problem. Our measurements are focussed on the ghost propagator and the Coulomb potential. Both play a central role in the Gribov-Zwanziger confinement scenario. We are able to consider momenta as small as 0.04 GeV2. Our results indicate that a new infrared regime is reached at that scale. The Coulomb potential allows for the estimate of a string tension being in agreement with the inequality of Zwanziger. Furthermore, we report on the transversal and time-time component of the equal-time gluon propagator in the complete Coulomb gauge. We observe dramatic effects of the Gribov ambiguity on the Coulomb potential and find large systematic discretization errors for both components of the equal-time gluon propagator.