The Infrared Behaviour of the Pure Yang-Mills Green Functions

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dc.creatorBoucaud, Ph.
dc.creatorLeroy, J. P.
dc.creatorYaouanc, A. Le
dc.creatorLokhov, A. Y.
dc.creatorMicheli, J.
dc.creatorPene, O.
dc.creatorRodriguez-Quintero, J.
dc.creatorRoiesnel, C.
dc.date2005-07-08
dc.date2006-05-11
dc.date.accessioned2026-07-07T06:42:04Z
dc.date.available2026-07-07T06:42:04Z
dc.descriptionWe 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.
dc.description25 pages, 7 figures; replaced version with some references adde and an enlarged discussion of the non-renormalization theorem; second replacement with improved figures and added references
dc.identifierhttps://arxiv.org/abs/hep-ph/0507104
dc.identifierhttp://arxiv.org/abs/hep-ph/0507104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101904
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Lattice
dc.titleThe Infrared Behaviour of the Pure Yang-Mills Green Functions
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