SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR

Understand

We study the scaling behavior and finite (physical) volume effects as well as the Gribov copy dependence of the SU(2) Landau gauge gluon propagator on the lattice.

• Our physical lattice sizes range from $(3.0 \mathrm{fm})^4$ to $(7.3 \mathrm{fm})^4$.
• Considering lattices with decreasing lattice spacing but fixed physical volume we confirm (non-perturbative) multiplicative renormalizability and the approach to the {\it continuum limit} for the renormalized gluon propagator $D_{ren}(p)$ at momenta $|p| \ageq 0.6$ GeV >.
• The finite-volume effects and Gribov copy influence turn out small in this region.