The gluon propagator in Coulomb gauge from the lattice

Details The gluon propagator in Coulomb gauge from the lattice The gluon propagator in Coulomb gauge from the lattice

2008-12-19

arxiv.org/abs/0812.3786v1

PoS Confinement8:051,2008

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

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 $M=0.88(1) {\rm GeV} \simeq 2 \sqrt{\sigma}$.

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