Consistent OPE description of gluon two- and three-point Green functions?

Citation
P. Boucaud et al., Consistent OPE description of gluon two- and three-point Green functions?, PHYS LETT B, 493(3-4), 2000, pp. 315-324
Citations number
42
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
493
Issue
3-4
Year of publication
2000
Pages
315 - 324
Database
ISI
SICI code
0370-2693(20001116)493:3-4<315:CODOGT>2.0.ZU;2-Z
Abstract
We perform an OPE analysis of the flavorless nonperturbative gluon propagat or and the symmetric three-gluon vertex in the Landau gauge. The first subd ominant operator is A(mu)A(mu) which can condensate in the Landau gauge "va cuum" although being a non-gauge-invariant operator. We neglect all higher- dimension operators. Then the gluon propagator and the symmetric three-gluo n vertex only depend on one common unknown condensate. We propose a consist ency check from lattice data. At two-loops for the leading coefficient and with 1/p(2) corrections at tree-level order the two fitted values for the c ondensate do not agree. At three-loops we argue that the today unknown beta (MOM)(2) should be equal to 1.5(3) x beta ((MOM) over tilde)(2) = 7400(150 0) to fulfill the OPE relation. Inclusion of the power corrections' anomalo us dimensions should improve further the agreement. We show that these tech niques cannot be applied to the asymmetric three-gluon vertex with one vani shing momentum. (C) 2000 Published by Elsevier Science B.V.