The gluon propagator in Coulomb gauge from the lattice

Abstract

We show that in the lattice Hamiltonian limit the static transverse propagator $D(|\vec{p}|)\propto \int d{p}_{0}D(|\vec{p}|,p_0)$ satisfies multiplicative renormalizability. We give a procedure to calculate $D(|\vec{p}|)$ on available lattices at finite temporal spacing. The result agrees at all momenta with the Gribov formula $D(|\vec{p}|)\propto (|\vec{p}{|}^2+M^4|\vec{p}{|}^{-2}{)}^{-1/2}$, with $M=0.88(1)\mathrm{GeV}\simeq 2\sqrt{\sigma }$.

Comments: 5 pages, 3 figures. Talk given at Confinement08, Mainz