Spectral sum for the color-Coulomb potential in SU(3) Coulomb gauge lattice Yang-Mills theory
arXiv:1003.4792 · doi:10.1103/PhysRevD.81.054509
Abstract
We discuss the essential role of the low-lying eigenmodes of the Faddeev-Popov (FP) ghost operator on the confining color-Coulomb potential using SU(3) quenched lattice simulations in the Coulomb gauge. The color-Coulomb potential is expressed as a spectral sum of the FP ghost operator and has been explored by partially summing the FP eigenmodes. We take into account the Gribov copy effects that have a great impact on the FP eigenvalues and the color-Coulomb potential. We observe that the lowest eigenvalue vanishes in the thermodynamic limit much faster than that in the Landau gauge. The color-Coulomb potential at large distances is governed by the near-zero FP eigenmodes; in particular, the lowest one accounts for a substantial portion of the color-Coulomb string tension comparable to the Wilson string tension.
arXiv comment14 pages, 14 figures
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Cited by in corpus (9)
- The QCD Running Coupling
- The Infrared Behaviour of the Pure Yang-Mills Green Functions
- From confinement to dark energy
- Coulomb vs. physical string tension on the lattice
- Ghost propagator and the Coulomb form factor from the lattice
- Lattice QCD analysis for Faddeev-Popov eigenmodes in terms of gluonic momentum components in the Coulomb gauge
- Origin of Confining Force
- Schwinger-Dyson Equations in Coulomb Gauge Consistent with Numerical Simulation
- Gluon propagators and center vortices in gluon plasma