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

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arxiv 0802.0239 v2 pith:XBUAQDG6 submitted 2008-02-02 hep-lat hep-ph

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

classification hep-lat hep-ph
keywords channelslatticevolumecolordependenceforcespotentialsapproximately
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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