Analytic calculation of color-Coulomb potential and color confinement

Details Analytic calculation of color-Coulomb potential and color confinement Analytic calculation of color-Coulomb potential and color confinement

2003-12-18

arxiv.org/abs/hep-ph/0312254v1

Phys.Rev. D70 (2004) 094034

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages

Scientific paper

10.1103/PhysRevD.70.094034

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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