Static Color-Coulomb Force
Attilio Cucchieri, Daniel Zwanziger (New York University)
TL;DR
This paper computes the static color-Coulomb potential in the Hamiltonian Coulomb gauge, revealing a confining potential with logarithmic corrections and semi-quantitative agreement with lattice and phenomenological data.
Contribution
It introduces a non-linear integral equation approach to calculate the potential, incorporating the Gribov horizon restriction, and compares results with existing lattice and phenomenological findings.
Findings
Potential is Coulombic with logarithmic corrections at short range.
Potential exhibits confinement at long range.
Results semi-quantitatively agree with lattice and phenomenological data.
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 are in semi-quantitative agreement with lattice Monte Carlo and phenomenological determinations.
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