Coulomb-gauge gluon propagator and the Gribov formula

Phys Rev Lett. 2009 Jan 23;102(3):032002. doi: 10.1103/PhysRevLett.102.032002. Epub 2009 Jan 21.

Abstract

We analyze the lattice SU(2) Yang-Mills theory in the Coulomb gauge. We show that the static gluon propagator is multiplicative renormalizable and takes the simple form D(|p[over -->]|)(-1)=sqrt[|p[over -->]|2+M4/|p[over -->]|2], proposed by Gribov through heuristic arguments many years ago. We find M=0.88(1) GeV approximately 2sqrt[sigma].