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arXiv · 0807.3291

Coulomb gauge gluon propagator and the Gribov formula

G. Burgio·M. Quandt·H. Reinhardt
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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 $M=0.88(1) {\rm GeV} \simeq 2 \sqrtσ$.

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G. Burgio, M. Quandt, H. Reinhardt. 2008-12-19. Coulomb gauge gluon propagator and the Gribov formula. https://doi.org/10.1103/physrevlett.102.032002

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