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Three-point correlation functions in Yang-Mills theory

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arxiv 1310.2594 v3 pith:DGU2MHI5 submitted 2013-10-09 hep-th hep-lathep-ph

classification hep-thhep-lathep-ph
keywords correlationfunctionsgaugelandautheorythree-pointyang-millsaccounted
verification ladder T0 review T1 audit T2 compute T3 formal

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We investigate the three-point correlation functions of Yang-Mills theory in the Landau gauge, with a particular emphasis on the infrared regime. The effect of the Gribov copies is accounted for by adding a mass term for the gluons in the Faddeev-Popov action in the Landau gauge. We perform a one-loop calculation for the ghost-antighost-gluon and three-gluon correlation functions. These analytic results are compared with the available lattice data and give a very satisfying agreement.

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Cited by 3 Pith papers

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  1. Nonrelativistic meson masses from the Curci-Ferrari model

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    A potential model built from the Curci-Ferrari massive-gluon action fits charm and bottom meson spectra, and the fit prefers a nonzero gluon mass.

  2. Quark Propagator at one-loop in the Refined Gribov-Zwanziger framework

    hep-th 2025-05 conditional novelty 5.0 of 10

    At one loop in the Refined Gribov-Zwanziger framework, the quark mass function agrees roughly with lattice QCD after fitting the gluon propagator, but the dressing function disagrees in the infrared.

  3. Gluon mass scale through the Schwinger mechanism

    hep-ph 2025-01 conditional novelty 2.0 of 10

    A comprehensive review showing how massless composite poles in QCD vertices can generate the gluon mass scale, with a BSE-based computation reaching m=367 MeV against the 354 MeV lattice value.

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