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We report on very strong evidence of the occurrence of power terms in$\as(p)$, the QCD running coupling constant in the $\widetilde{MOM}$ scheme, byanalyzing non-perturbative measurements from the lattice three-gluon vertexbetween 2.0 and 10.0 GeV at zero flavor. While putting forward the caveat thatthis definition of the coupling is a gauge dependent one, the general relevanceof such an occurrence is discussed. We fit $\Lambda_{\bar{\rm MS}}^{(n_f=0)}=237 \pm 3 ^{+ 0}_{-10}$ MeV in perfect agreement with the result obtained bythe ALPHA group with a totally different method.  The power correction to $\as(p)$ is fitted to $(0.63\pm 0.03 ^{+ 0.0}_{-0.13}) {\rm GeV}^2/p^2$.Comment: 21 pages, 3 figure

Lattice calculation of 1/p2 corrections to αs and of Λ(QCD) in the MOM-tilde scheme

Lattice calculation of 1/p² corrections to α_s and of Λ_(QCD) in the MOM-tilde scheme