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The 1/k contribution to the heavy quark potential is first generated at oneloop order in QCD. We compute the two loop anomalous dimension for thispotential, and find that the renormalization group running is significant. Thenext-to-leading-log coefficient for the heavy quark production current nearthreshold is determined. The velocity renormalization group result includes thealpha_s^3 ln^2(alpha_s) ``non-renormalization group logarithms'' of Kniehl andPenin.Comment: 30 pages, journal versio

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Running of the heavy quark production current and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>|</mml:mi><mml:mi mathvariant="normal">k</mml:mi><mml:mi>|</mml:mi></mml:math>potential in QCD

Running of the heavy quark production current and1/|k|potential in QCD