The Infrared Behaviour of the Pure Yang-Mills Green Functions - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2005

The Infrared Behaviour of the Pure Yang-Mills Green Functions

Résumé

We study the infrared behaviour of the pure Yang-Mills correlators using relations that are well defined in the non-perturbative domain. These are the Slavnov-Taylor identity for three-gluon vertex and the Schwinger-Dyson equation for ghost propagator in the Landau gauge. We also use several inputs from lattice simulations. We show that lattice data are in serious conflict with a widely spread analytical relation between the gluon and ghost infrared critical exponents. We conjecture that this is explained by a singular behaviour of the ghost-ghost-gluon vertex function in the infrared. We show that, anyhow, this discrepancy is not due to some lattice artefact since lattice Green functions satisfy the ghost propagator Schwinger-Dyson equation. We also report on a puzzle concerning the infrared gluon propagator: lattice data seem to favor a constant non vanishing zero momentum gluon propagator, while the Slavnov-Taylor identity (complemented with some regularity hypothesis of scalar functions) implies that it should diverge.

Dates et versions

hal-00005894 , version 1 (11-07-2005)

Identifiants

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Ph. Boucaud, J. P. Leroy, A. Le Yaouanc, A. Y. Lokhov, J. Micheli, et al.. The Infrared Behaviour of the Pure Yang-Mills Green Functions. 2005. ⟨hal-00005894⟩
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