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25 April 2024
 
  » arxiv » 0807.3291

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Coulomb gauge gluon propagator and the Gribov formula
G. Burgio ; M. Quandt ; H. Reinhardt ;
Date 21 Jul 2008
AbstractWe calculate the SU(2) gluon propagator in Coulomb gauge on the lattice. By choosing the proper residual gauge fixing we show that in the continuum limit the equal time spatial propagator $D(|vec{p}|)proptoint d p_0 D(|vec{p}|,p_0)$ satisfies multiplicative renormalization once it has been properly regularized. We give a procedure to calculate $D(|vec{p}|)$ on relatively small lattices and at finite 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 $M=0.88(1) GeV simeq 2 sqrt{sigma}$.
Source arXiv, 0807.3291
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