Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-03-25
Phys.Rev.D81:054509,2010
Physics
High Energy Physics
High Energy Physics - Lattice
14 pages, 14 figures
Scientific paper
10.1103/PhysRevD.81.054509
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.
Nakagawa Yasuhiro
Nakamura Akihiro
Saito Takesi
Toki Hiroshi
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