Analytic calculation of color-Coulomb potential and color confinement
Abstract
We develop a calculational scheme in Coulomb and temporal gauge that respects gauge invariance and is most easily applied to the infrared asymptotic region of QCD. It resembles the Dyson-Schwinger equations of Euclidean quantum field theory in Landau gauge, but is 3-dimensional. A simple calculation yields a color-Coulomb potential that behaves at large R approximately like V coul(R) R[1-0.2(d-1)] for spatial dimension 1 ≤ d ≤ 3. This is a linearly rising potential plus a rather weak dependence on d.
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