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Lattice determination of the Batalin-Vilkovisky function and the strong running interaction

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arxiv 2404.06496 v1 pith:PVEZAV7F submitted 2024-04-09 hep-lat hep-phhep-thnucl-th

A. C. Aguilar , N. Brito , M. N. Ferreira , J. Papavassiliou , O. Oliveira , P. J. Silva This is my paper · ORCID
classification hep-lathep-phhep-thnucl-th
keywords functionlatticeresultsbatalin-vilkoviskyderiveddeterminationinteractionrunning
verification ladder T0 review T1 audit T2 compute T3 formal
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The Batalin-Vilkovisky function is a central component in the modern formulation of the background field method and the physical applications derived from it. In the present work we report on novel lattice results for this particular quantity, obtained by capitalizing on its equality with the Kugo-Ojima function in the Landau gauge. The results of the lattice simulation are in very good agreement with the predictions derived from a continuum analysis based on the corresponding Schwinger-Dyson equations. In addition, we show that an important relation connecting this function with the ghost propagator is fulfilled rather accurately. With the aid of these results, we carry out the first completely lattice-based determination of the process-independent strong running interaction, employed in a variety of phenomenological studies.

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Cited by 2 Pith papers

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  1. High statistical computation of the Landau gauge ghost-gluon vertex

    hep-lat 2024-11 conditional novelty 3.0 of 10

    High-statistics lattice data for the Landau gauge ghost-gluon vertex form factor H1 in the soft-gluon limit show a nearly flat momentum dependence compatible with previous lattice results.

  2. 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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