Infrared divergence of the color-Coulomb self-energy in Coulomb gauge QCD

Abstract

We investigate the spectrum of the Faddeev-Popov operator in Coulomb gauge QCD using quenched SU(3) lattice simulation. In the confinement phase, we observe the accumulation of the near-zero modes of the FP operator at large lattice volumes, and the color-Coulomb self-energy diverges in the infrared limit. Moreover, even in the deconfinement phase, the behavior of the FP eigenvalue density is qualitatively the same as in the confinement phase and the color-Coulomb self-energy is infrared divergent.

Comments: 7 pages, 7 figures, talk presented at Lattice06 (Confinement and Topology), Tuscon, Arizon, July 2006