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Lattice gauge theory computation of the static force

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arxiv 2106.01794 v2 pith:ULQQOYB7 submitted 2021-06-03 hep-lat hep-phhep-th

Nora Brambilla , Viljami Leino , Owe Philipsen , Christian Reisinger , Antonio Vairo , Marc Wagner This is my paper
classification hep-lathep-phhep-th
keywords staticforceapproachgaugelatticeloopsresultstheory
verification ladder T0 review T1 audit T2 compute T3 formal
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We explore a novel approach to compute the force between a static quark and a static antiquark with lattice gauge theory directly. The approach is based on expectation values of Wilson loops or Polyakov loops with chromoelectric field insertions. We discuss theoretical and technical aspects in detail, in particular, how to compensate large discretization errors with a multiplicative renormalization factor and the evaluation using a multilevel algorithm. We also compare numerical results for the static force to corresponding results obtained in the traditional way, i.e., by computing first the static potential and then taking the derivative.

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Cited by 3 Pith papers

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

  1. Wilson loops with neural networks

    hep-lat 2026-02 unverdicted novelty 7.0 of 10

    Neural networks parametrize gauge-invariant interpolators that extract ground-state Wilson loops with improved signal-to-noise ratio compared to traditional methods while preserving gauge invariance.

  2. Renormalon subtracted nonrelativistic QCD for heavy hadron systems

    hep-ph 2026-07 conditional novelty 6.5 of 10

    MRS-pNRQCD plus GFMC stabilizes heavy-hadron spectroscopy; NNLO baryon masses undershoot lattice QCD by 125–175 MeV with 1/m_Q scaling, and a critical mass ratio for tetraquark binding is extracted.

  3. Strong coupling constant from the 1-loop improved static energy

    hep-lat 2026-04 unverdicted novelty 4.0 of 10

    1-loop lattice PT improvement of Wilson loops enhances precision in extracting α_s from the static energy using TUMQCD (2+1)-flavor lattice data.

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