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

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

2009-12-21

arxiv.org/abs/0912.4203v2

Eur. Phys. J. C68:183-195, 2010; Eur.Phys.J.C68:183-195,2010

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 22 figures; minor changes, matches version to appear in Eur. Phys. J. C

Scientific paper

10.1140/epjc/s10052-010-1306-6

We study the strong-coupling limit beta=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 beta. In turn, the gluon propagator only mildly depends on the Gribov ambiguity.

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