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APS » Journals » Physical Review Letters » Volume dependence of the long range two body potentials in various color channels by lattice QCD

January 2008, to be published in Physical Review D1

Volume dependence of the long range two body potentials in various color channels by lattice QCD
Y. Nakagawa, A. Nakamura, T. Saito, and H. Toki

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 two 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-non-singlet 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.

© 2008 The American Physical Society.