Eur. Phys. J. C (2010) 68: 183-195
https://doi.org/10.1140/epjc/s10052-010-1306-6

Regular Article - Theoretical Physics

Strong-coupling study of the Gribov ambiguity in lattice Landau gauge

¹ Institut für Physik, Karl-Franzens Universität Graz, Universitätsplatz 5, 8010, Graz, Austria
² Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120, Heidelberg, Germany
³ ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Planckstr. 1, 64291, Darmstadt, Germany
⁴ Centre for the Subatomic Structure of Matter, University of Adelaide, SA, 5005, Adelaide, Australia
⁵ Institut für Theoretische Physik, Universität Regensburg, 93040, Regensburg, Germany
⁶ Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstr. 9, 64289, Darmstadt, Germany

^* e-mail: d.spielmann@thphys.uni-heidelberg.de

Received: 13 January 2010
Published online: 13 April 2010

Abstract

We study the strong-coupling limit β=0 of lattice SU(2) Landau gauge Yang–Mills theory. In this limit the lattice spacing is infinite, and thus all momenta in physical units are infinitesimally small. Hence, the infrared behavior can be assessed at sufficiently large lattice momenta. Our results show that at the lattice volumes used here, the Gribov ambiguity has an enormous effect on the ghost propagator in all dimensions. This underlines the severity of the Gribov problem and calls for refined studies also at finite β. In turn, the gluon propagator only mildly depends on the Gribov ambiguity.