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arXiv · hep-ph/0312254

Analytic calculation of color-Coulomb potential and color confinement

Daniel Zwanziger
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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 $V_{\rm coul}(R) \sim R^{[1-0.2(d-1)]}$ for spatial dimension $1 \leq d \leq 3$. This is a linearly rising potential plus a rather weak dependence on $d$.

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Daniel Zwanziger. 2003-12-18. Analytic calculation of color-Coulomb potential and color confinement. https://doi.org/10.1103/physrevd.70.094034

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