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Type: Conference paper
Title: Coulomb gauge studies of SU(3) Yang-Mills theory on the lattice
Author: Voigt, A.
Ilgenfritz, E.
Muller-Preussker, M.
Sternbeck, A.
Citation: Proceedings of Science, 2007; PoS(LATTICE 2007):338/1-338/7.
Publisher: Academic Press Inc
Publisher Place: 525 B St Ste 1900 San Diego CA 92101-4495
Issue Date: 2007
Conference Name: The XXV International Symposium on Lattice Field Theory (25th : 2007 : Regensburg, Germany)
Editor: Bali, G.
Braun, V.
Gattringer, C.
Gockeler, M.
Schafer, A.
Weisz, P.
Wettig, T.
Statement of
Aiko Voigt, Ernst-Michael Ilgenfritz, Michael Müller-Preussker and Andre Sternbeck
Abstract: We study the infrared behaviour of lattice SU(3) Yang-Mills theory in Coulomb gauge in terms of the ghost propagator, the Coulomb potential and the transversal and the time-time component of the equal-time gluon propagator. In particular, we focus on the Gribov problem and its impact on the observables. We observe that the simulated annealing method is advantageous for fixing the Coulomb gauge in large volumes. We study finite-size and discretization effects. While finitesize effects can be controlled by the cone cut, and the ghost propagator and the Coulomb potential become scaling functions with the cylinder cut, the equal-time gluon propagator does not show scaling in the considered range of the inverse coupling constant. The ghost propagator is infrared enhanced. The Coulomb potential is now extended to considerably lower momenta and shows a more complicated infrared regime. The Coulomb string tension satisfies Zwanziger’s inequality, but its estimate can be considered only preliminary because of the systematic Gribov effect that is particularly strong for the Coulomb potential.
Description: Also cited as: Lattice 2007, the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany / Gunnar Bali, Vladimir Braun, Christof Gattringer, Meinulf Göckeler, Andreas Schäfer, Peter Weisz, Tilo Wettig (eds.): 338/1-338/7.
Rights: Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
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