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Analytic calculation of color-Coulomb potential and color confinement

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arxiv hep-ph/0312254 v1 pith:DGNZ76FX submitted 2003-12-18 hep-ph

classification hep-ph
keywords gaugepotentialcalculationcolor-coulombanalyticappliedapproximatelyasymptotic
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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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  1. The Coulomb flux tube revisited

    hep-lat 2019-08 conditional novelty 5.0 of 10

    Lattice data at beta=2.5 and 2.7 favor a power-law transverse falloff of the Coulomb flux tube, with exponent near 2, instead of the exponential falloff reported at beta=2.5 by Chung and Greensite.

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