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arxiv: 1710.04903 · v2 · pith:Z5DF6IPSnew · submitted 2017-10-13 · ✦ hep-ph

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

classification ✦ hep-ph
keywords bethe-salpeterequationsalgorithmsapplicableapplicationbaryonsbound-statecalculation
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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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