Lattice calculation of 1/p2 corrections to αs and of Λ(QCD) in the MOM-tilde scheme
Author(s) -
P. Boucaud,
Giuseppe Burgio,
Francesco Di Renzo,
Jean Pierre Leroy,
Jacques Micheli,
C. Parrinello,
O. Pène,
C. Pittori,
J. Rodríguez–Quintero,
C. Roiesnel,
Kieran J. Sharkey
Publication year - 2000
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2000/04/006
Subject(s) - physics , lambda , lattice qcd , quantum chromodynamics , perturbative qcd , lattice (music) , particle physics , gluon , omega , coupling constant , vertex (graph theory) , lattice field theory , combinatorics , quantum mechanics , mathematics , graph , acoustics
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
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