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

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...

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Bibliographic Details
Main Authors: Maas, Axel Torsten (Author) , Pawlowski, Jan M. (Author) , Spielmann, Daniel (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 2010
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0912.4203
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Author Notes:Axel Maas, Jan M. Pawlowski, Daniel Spielmann, Andre Sternbeck, and Lorenz von Smekal
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Summary: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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