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The four-gluon vertex from lattice QCD

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arxiv 2501.17650 v2 pith:66KBJDK2 submitted 2025-01-29 hep-lat hep-ph

classification hep-lathep-ph
keywords four-gluonfunctiongreencomputationirreduciblelatticeone-particleassociated
verification ladder T0 review T1 audit T2 compute T3 formal
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The four-gluon one-particle irreducible Green function contributes to various quantities with phenomenological relevance. An example where the four-gluon plays a role is the determination of the gluon propagator, a basic building block for QCD, using continuum methods. This four leg Green function is poorly known and we are only starting to grasp its non-perturbative structure. Here, we report on the computation of the one-particle irreducible four-gluon Green function, in the Landau gauge, with lattice simulations. Besides stating the problems associated with the computation, several form factors that characterise this Green function are measured.

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Cited by 1 Pith paper

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  1. The four-gluon and ghost-gluon vertices in the Landau gauge from lattice simulations

    hep-lat 2025-05 conditional novelty 3.0 of 10

    Lattice data for the four-gluon vertex show an essentially constant F0 and an infrared-growing F2, while the ghost-gluon soft-gluon form factor matches previous calculations.

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