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

Y. Nakagawa·T. Saito·H. Toki·A. Nakamura
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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.

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Y. Nakagawa, T. Saito, H. Toki, A. Nakamura. 2006-10-31. Infrared divergence of the color-Coulomb self-energy in Coulomb gauge QCD. https://arxiv.org/abs/hep-lat/0610128

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