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

被引:92
作者
Boucaud, P
Le Yaouanc, A
Leroy, JP
Micheli, J
Pène, O
Rodríguez-Quintero, J [1 ]
机构
[1] Univ Huelva, EPS Rabida, Dpto Fis Aplicada & Ingn Elect, Palos De La Fra 21819, Spain
[2] Univ Paris 11, Phys Theor Lab, CNRS UMR 8627, F-91405 Orsay, France
关键词
D O I
10.1016/S0370-2693(00)01149-7
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
收藏
页码:315 / 324
页数:10
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