The strong-coupling limit of minimal lattice Landau gauge
Date
2008
Authors
Sternbeck, A.
Von Smekal, L.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Conference paper
Citation
Proceedings of Science: XXVI International Symposium on Lattice Field Theory : 267
Statement of Responsibility
André Sternbeck and Lorenz von Smekal
Conference Name
International Symposium on Lattice Field Theory (26th : 2008 : Williamsburg, VA.)
Abstract
We study the gluon and ghost propagators of lattice Landau gauge in the strong coupling limit β = 0 in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behavior of these propagators as predicted by a variety of functional continuum methods for asymptotically small momenta q² << Λ² QCD. In the strong-coupling limit, this same behavior is obtained for the larger values of a²q² (in units of the lattice spacing a), where it is otherwise swamped by the gauge field dynamics. Deviations for a²q² <1 are well parametrized by a transverse gluon mass ∝ 1/a. Perhaps unexpectedly, these deviations are thus no finite-volume effect but persist in the infinite-volume limit. They furthermore depend on the definition of gauge fields on the lattice, while the asymptotic conformal behaviour does not.