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Infrared behavior of the Faddeev-Popov operator in Coulomb gauge QCD

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arxiv hep-lat/0702002 v1 pith:6ZS36CY5 submitted 2007-02-02 hep-lat hep-ph

Infrared behavior of the Faddeev-Popov operator in Coulomb gauge QCD

classification hep-lat hep-ph
keywords phaseconfinementbehaviorcoulombdensityeigenvaluefaddeev-popovgauge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the eigenvalue distribution of the Faddeev-Popov operator in Coulomb gauge QCD using quenched SU(3) lattice simulation. In the confinement phase, the density of the low-lying eigenvalues increases with lattice volume, and the confinement criterion is satisfied. Moreover, even in the deconfinement phase, the behavior of the FP eigenvalue density is qualitatively the same as in the confinement phase. This is consistent with the fact that the color-Coulomb potential is not screened in the deconfined phase.

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