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Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory

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Voigt,  Aiko
MPI for Meteorology, Max Planck Society;

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Citation

Nakagawa, Y., Voigt, A., Ilgenfritz, E., Muller-Preussker, M., Nakamura, A., Saito, T., et al. (2009). Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory. Physical Review D, 79: 114504. doi:10.1103/PhysRevD.79.114504.


Cite as: https://hdl.handle.net/21.11116/0000-000B-4E77-9
Abstract
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 the Research Center for Nuclear Physics, 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 a 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.