Coulomb gauge gluon propagator and the Gribov formula

Abstract

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

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

References in corpus (2)

• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism

Cited by in corpus (1)

• Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory