Static Color-Coulomb Force

Abstract

The static color-Coulomb interaction potential is calculated as the solution of a non-linear integral equation which arises in the Hamiltonian Coulomb gauge 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 ${\Lambda }_{\overline{MS}}$ are in semi-quantitative agreement with lattice Monte Carlo and phenomenological determinations.

Rewritten to make it more self-contained, by explaining the general ideas of the approach followed. 5 pages (including 1 figure); (latex using revtex macro). To be published in Phys.Rev.Lett

References in corpus (4)

• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Lattice Coulomb Hamiltonian and Static Color-Coulomb Field
• Alpha_s from the Lattice Potential
• Color-Coulomb Force Calculated from Lattice Coulomb Hamiltonian

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• The Gribov horizon and the one-loop color-Coulomb potential
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