Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-02-25
Phys.Rev.D79:114504,2009
Physics
High Energy Physics
High Energy Physics - Lattice
16 pages, 13 figures
Scientific paper
10.1103/PhysRevD.79.114504
We study the momentum dependence of the ghost propagator and of the space and time components of the gluon propagator at equal time in pure SU(3) lattice Coulomb gauge theory carrying out a joint analysis of data collected independently at RCNP Osaka and Humboldt University Berlin. We focus on the scaling behavior of these propagators at beta=5.8,...,6.2 and apply a matching technique to relate the data for the different lattice cutoffs. Thereby, lattice artifacts are found to be rather strong for both instantaneous gluon propagators at large momentum. As a byproduct we obtain the respective lattice scale dependences a(beta) for the transversal gluon and the ghost propagator which indeed run faster with beta than two-loop running, but slightly slower than what is known from the Necco-Sommer analysis of the heavy quark potential. The abnormal a(beta) dependence as determined from the instantaneous time-time gluon propagator, D_{44}, remains a problem, though. The role of residual gauge-fixing influencing D_{44} is discussed.
Ilgenfritz Ernst-Michael
Muller-Preussker Michael
Nakagawa Yasuhiro
Nakamura Akihiro
Saito Takesi
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