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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

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 3 Pith papers

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

  1. 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.

  2. 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.

  3. 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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