Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-10-21
PoS LATTICE2008:267,2008
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages; talk presented at the XXVI International Symposium on Lattice Field Theory, July 14-19 2008, Williamsburg, Virginia,
Scientific paper
We study the gluon and ghost propagators of lattice Landau gauge in the strong coupling limit $\beta = 0$ in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behaviour of these propagators as predicted by a variety of functional continuum methods for asymptotically small momenta $q^2 \ll \Lambda_\mathrm{QCD}^2$. In the strong-coupling limit, this same behaviour is obtained for the larger values of $a^2q^2$ (in units of the lattice spacing $a$), where it is otherwise swamped by the gauge field dynamics. Deviations for $a^2 q^2 < 1 $ are well parametrized by a transverse gluon mass $\propto 1/a$. 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.
Smekal Lorenz von
Sternbeck André
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