{ "id": "hep-ph/0003020", "version": "v2", "published": "2000-03-03T18:28:22.000Z", "updated": "2000-03-06T15:30:43.000Z", "title": "Lattice calculation of $1/p^2$ corrections to $α_s$ and of $Λ_{\\rm {QCD}}$ in the $\\widetilde{MOM}$ scheme", "authors": [ "Ph. Boucaud", "G. Burgio", "F. Di Renzo", "J. P. Leroy", "J. Micheli", "C. Parrinello", "O. Pène", "C. Pittori", "J. Rodríguez-Quintero", "C. Roiesnel", "K. Sharkey" ], "comment": "21 pages, 3 figures", "journal": "JHEP 0004:006,2000", "doi": "10.1088/1126-6708/2000/04/006", "categories": [ "hep-ph", "hep-lat" ], "abstract": "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, by analyzing non-perturbative measurements from the lattice three-gluon vertex between 2.0 and 10.0 GeV at zero flavor. While putting forward the caveat that this definition of the coupling is a gauge dependent one, the general relevance of 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 by the ALPHA group with a totally different method. The power correction to $\\as(p)$ is fitted to $(0.63\\pm 0.03 ^{+ 0.0}_{- 0.13}) {\\rm GeV}^2/p^2$.", "revisions": [ { "version": "v2", "updated": "2000-03-06T15:30:43.000Z" } ], "analyses": { "keywords": [ "lattice calculation", "lattice three-gluon vertex", "power terms", "qcd running coupling constant", "power correction" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "J. High Energ. Phys." }, "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "inspire": 524556 } } }