1303.3423 (I. Bogolubsky et al.)

On the continuum limit of Landau gauge gluon and ghost propagators in
SU(2) lattice gauge gluodynamics    [PDF]

I. Bogolubsky, E. -M. Ilgenfritz, M. Müller-Preussker, A. Sternbeck

We continue the systematic computation of Landau gauge gluon and ghost propagators of SU(2) gluodynamics using a sequence of increasing lattice sizes L^4 up to L=112 with corresponding \beta-values chosen to keep the linear physical size a(\beta)L ~ 9.6 fm fixed. To extremize the Landau gauge functional we employ simulated annealing combined with subsequent overrelaxation. Renormalizing the propagators at momentum \mu= 2.2 GeV we observe quite strong lattice artifacts for the gluon propagator as well as for the ghost dressing function within the momentum region q < 1.0 GeV. The dependence on the lattice spacing for the gluon propagator at lowest accessible physical momentum values does not yet allow a simple extrapolation to the continuum limit. On the contrary, the running coupling derived from the bare dressing functions seems less affected by lattice artifacts.

View original: http://arxiv.org/abs/1303.3423