Color-Coulomb force calculated from lattice Coulomb Hamiltonian

Attilio Cucchieri; Daniel Zwanziger

doi:10.1016/S0920-5632(96)00790-6

Color-Coulomb force calculated from lattice Coulomb Hamiltonian

Attilio Cucchieri, Daniel Zwanziger

Research output: Contribution to journal › Article › peer-review

Abstract

The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb Hamiltonian formulation of lattice gauge theory when the restriction to the interior of the Gribov horizon is implemented. The potential obtained is in qualitative agreement with expectations, being Coulombic with logarithmic corrections at short range and confining at long range. The values obtained for the string tension and Λ_MS are in semi-quantitative agreement with lattice Monte Carlo and phenomenological determinations.

Original language	English (US)
Pages (from-to)	815-818
Number of pages	4
Journal	Nuclear Physics B - Proceedings Supplements
Volume	53
Issue number	1-3
DOIs	https://doi.org/10.1016/S0920-5632(96)00790-6
State	Published - Feb 1997

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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abstract = "The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb Hamiltonian formulation of lattice gauge theory when the restriction to the interior of the Gribov horizon is implemented. The potential obtained is in qualitative agreement with expectations, being Coulombic with logarithmic corrections at short range and confining at long range. The values obtained for the string tension and ΛMS are in semi-quantitative agreement with lattice Monte Carlo and phenomenological determinations.",

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AB - The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb Hamiltonian formulation of lattice gauge theory when the restriction to the interior of the Gribov horizon is implemented. The potential obtained is in qualitative agreement with expectations, being Coulombic with logarithmic corrections at short range and confining at long range. The values obtained for the string tension and ΛMS are in semi-quantitative agreement with lattice Monte Carlo and phenomenological determinations.

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