Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory

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dc.creatorCucchieri, Attilio
dc.creatorMaas, Axel
dc.creatorMendes, Tereza
dc.date2006-05-14
dc.date.accessioned2026-07-07T07:09:53Z
dc.date.available2026-07-07T07:09:53Z
dc.descriptionGreen's functions are a central element in the attempt to understand non-perturbative phenomena in Yang-Mills theory. Besides the propagators, 3-point Green's functions play a significant role, since they permit access to the running coupling constant and are an important input in functional methods. Here we present numerical results for the two non-vanishing 3-point Green's functions in 3d pure SU(2) Yang-Mills theory in (minimal) Landau gauge, i.e. the three-gluon vertex and the ghost-gluon vertex, considering various kinematical regimes. In this exploratory investigation the lattice volumes are limited to 20^3 and 30^3 at beta=4.2 and beta=6.0. We also present results for the gluon and the ghost propagators, as well as for the eigenvalue spectrum of the Faddeev-Popov operator. Finally, we compare two different numerical methods for the evaluation of the inverse of the Faddeev-Popov matrix, the point-source and the plane-wave-source methods.
dc.description18 pages, 12 figures, 3 tables
dc.identifierhttps://arxiv.org/abs/hep-lat/0605011
dc.identifierhttp://arxiv.org/abs/hep-lat/0605011
dc.identifierPhys.Rev. D74 (2006) 014503
dc.identifierdoi:10.1103/PhysRevD.74.014503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111249
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleExploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
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