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

Abstract

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.

arXiv comment10 pages, 10 figures

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Cited by in corpus (10)

• From confinement to dark energy
• The effective Coulomb potential in SU(3) lattice Yang-Mills theory
• Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory
• Ghost propagator and the Coulomb form factor from the lattice
• Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices
• Spectral sum for the color-Coulomb potential in SU(3) Coulomb gauge lattice Yang-Mills theory
• The volume dependence of the long-range two-body potentials in various color channels by lattice QCD
• Lattice QCD analysis for Faddeev-Popov eigenmodes in terms of gluonic momentum components in the Coulomb gauge
• Gluon propagators and center vortices in gluon plasma
• Heat-kernel expansion and counterterms of the Faddeev-Popov determinant in Coulomb and Landau gauge