Coulomb gauge gluon propagator and the Gribov formula

Details Coulomb gauge gluon propagator and the Gribov formula Coulomb gauge gluon propagator and the Gribov formula

2008-07-21

arxiv.org/abs/0807.3291v2

Phys.Rev.Lett.102:032002,2009

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 2 figures. Slight change of notations, some point clarified. To appear on Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.102.032002

We analyze the lattice SU(2) Yang-Mills theory in Coulomb gauge. We show that
the static gluon propagator is multiplicative renormalizable and takes the
simple form $D(|\vec{p}|)^{-1}=\sqrt{|\vec{p}|^2+M^4/|\vec{p}|^2}$, proposed by
Gribov through heuristic arguments many years ago. We find $M=0.88(1) {\rm GeV}
\simeq 2 \sqrt{\sigma}$.

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