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Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model

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arxiv 1905.07262 v2 pith:X7CCS7L4 submitted 2019-05-17 hep-th hep-lat

John A. Gracey , Marcela Peláez , Urko Reinosa , Matthieu Tissier This is my paper · ORCID
classification hep-thhep-lat
keywords correlationfunctionsgluonactioncalculationcurci-ferrarighostlattice
verification ladder T0 review T1 audit T2 compute T3 formal
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The Landau-gauge gluon and ghost correlation functions obtained in lattice simulations can be reproduced qualitatively and, to a certain extent, quantitatively if a gluon mass is added to the standard Faddeev-Popov action. This has been tested extensively at one loop, for the two and three point correlation functions of the gluons, ghosts and quarks. In this article, we push the comparison to two loops for the gluon and ghost propagators. The agreement between lattice results and the perturbative calculation considerably improves. This validates the Curci-Ferrari action as a good phenomenological model for describing the correlation functions of Yang-Mills theory in the Landau gauge. It also indicates that the perturbation theory converges fairly well, in the infrared regime.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects

    hep-th 2024-11 conditional novelty 6.0 of 10

    A gauge-invariant massive extension of Lorentz-violating Yang-Mills theory is constructed, along with a BRST-invariant refined Gribov-Zwanziger action and its tree-level propagator.

  2. Nonrelativistic meson masses from the Curci-Ferrari model

    hep-ph 2025-09 conditional novelty 5.0 of 10

    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.

  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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