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It is shown that gluonic corrections to the tadpole diagrams vanish in the2SC and CFL phases at the order where one might have expected NLO corrections.This implies that the gluonic part of the color charge density is negligible atthe order of our computation. This statement remains true after inclusion ofthe gluon vertex correction and contributions from Nambu-Goldstone bosons.Comment: 9 pages, 3 figures, REVTeX4; title modified, comments about gauge  independence added, accepted for publication in Phys. Rev.

Resummed one-loop gluonic contributions to the color superconducting color charge density vanish