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Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations

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arxiv 1710.04903 v2 pith:Z5DF6IPS submitted 2017-10-13 hep-ph

Helios Sanchis-Alepuz , Richard Williams This is my paper · ORCID
classification hep-ph
keywords bethe-salpeterequationsalgorithmsapplicableapplicationbaryonsbound-statecalculation
verification ladder T0 review T1 audit T2 compute T3 formal
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We review in detail modern numerical methods used in the determination and solution of Bethe-Salpeter and Dyson--Schwinger equations. The algorithms and techniques described are applicable to both the rainbow-ladder truncation and its non-trivial extensions. We discuss pedagogically the steps involved in constructing conventional mesons and baryons as systems of two- and three-quarks respectively. As further application we describe the self-consistent calculation of form-factors and highlight the challenges that remain therein.

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Cited by 6 Pith papers

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

  1. Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework

    hep-ph 2025-01 conditional novelty 6.0 of 10

    First DSE predictions for B*, B*_s, and B*_c distribution amplitudes show peaks near the Euclidean constituent quark mass ratio and a universal spin ordering.

  2. Imaging the charge distributions of flavor-symmetric and -asymmetric mesons

    hep-ph 2025-06 conditional novelty 5.0 of 10

    Using a maximum-entropy inversion of DSE/BSE form factors, the authors map meson charge profiles and find quark-antiquark distances that shrink with quark mass and grow by 5-15% for spin-aligned mesons.

  3. $D^* D \pi$ and $B^* B \pi$ couplings from Dyson-Schwinger equations framework

    hep-ph 2024-11 conditional novelty 5.0 of 10

    A Dyson-Schwinger/Bethe-Salpeter calculation predicts g_D*Dpi = 16.22 and g_B*Bpi = 40.09, with static couplings consistent with lattice results.

  4. DoFun 3.0: Functional equations in Mathematica

    hep-ph 2019-08 accept novelty 4.0 of 10

    DoFun 3.0 extends the Mathematica package DoFun with automatic derivation of correlation functions of composite operators, plus workflow tools and a public GitHub repository.

  5. Getting a handle on correlation functions

    hep-ph 2026-02 accept novelty 3.0 of 10

    A pedagogical guide to constructing symmetry-adapted tensor bases and momentum variables for n-point correlation functions in Euclidean quantum field theory.

  6. A beginner's guide to functional methods in particle physics

    hep-ph 2025-10 accept novelty 1.0 of 10

    A pedagogical review showing how Dyson-Schwinger, 3PI, and Bethe-Salpeter equations can be chained together to compute glueball masses in pure Yang-Mills theory, matching lattice QCD.

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