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arxiv hep-ph/0105063 v2 pith:IBYBEJ6P submitted 2001-05-07 hep-ph hep-lat

Remarks on the determination of the Landau gauge OPE for the Asymmetric three gluon vertex

classification hep-ph hep-lat
keywords asymmetriccouplingformulagluonleadingperturbativerenormalizedrunning
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute a compact OPE formula describing power corrections to the perturbative expression for the asymmetric $\widetilde{MOM}$-renormalized running coupling constant up to the leading logarithm. By the use of the phenomelogical hypothesis leading to the factorization of the condensates through a perturbative vacuum insertion, the only relevant condensate in the game is $<A^2>$. The validity of the OPE formula is tested by searching for a good-quality coherent description of previous lattice evaluations of $\widetilde{MOM}$-renormalized gluon propagator and running coupling.

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    First non-asymptotic-scaling determination of the large-N Yang-Mills Λ-parameter yields √(8t₀)Λ_MS(N=∞) = 0.639(36).