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arXiv · 0802.0239

The volume dependence of the long-range two-body potentials in various color channels by lattice QCD

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

We study the color-dependent confining forces between two quarks by the quenched lattice simulations of Coulomb gauge QCD. The color-singlet and color-antitriplet instantaneous potentials yield attractive forces. The ratio of the string tensions obtained from them is approximately 2 and have little volume dependence. Meanwhile, the color-octet and color-sextet channels give a minor contribution for two-quark system. We finally find that the infrared self-energy of the color-nonsinglet channels diverges in the infinite volume limit; however, the degree of the divergence on the finite lattice can be understood in terms of color factors.

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Y. Nakagawa, A. Nakamura, T. Saito, H. Toki. 2008-02-18. The volume dependence of the long-range two-body potentials in various color channels by lattice QCD. https://doi.org/10.1103/physrevd.77.034015

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