4.7 Article

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

Journal

PHYSICS LETTERS B
Volume 493, Issue 3-4, Pages 315-324

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/S0370-2693(00)01149-7

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We perform an OPE analysis of the flavorless nonperturbative gluon propagator and the symmetric three-gluon vertex in the Landau gauge. The first subdominant operator is A(mu)A(mu) which can condensate in the Landau gauge vacuum although being a non-gauge-invariant operator. We neglect all higher-dimension operators. Then the gluon propagator and the symmetric three-gluon vertex only depend on one common unknown condensate. We propose a consistency 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 condensate 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(1500) to fulfill the OPE relation. Inclusion of the power corrections' anomalous dimensions should improve further the agreement. We show that these techniques cannot be applied to the asymmetric three-gluon vertex with one vanishing momentum. (C) 2000 Published by Elsevier Science B.V.

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