English

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

High Energy Physics - Phenomenology 2018-06-26 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1710.04903,
  title  = {Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations},
  author = {Helios Sanchis-Alepuz and Richard Williams},
  journal= {arXiv preprint arXiv:1710.04903},
  year   = {2018}
}

Comments

37 pages, 9 figures. Version accepted for publication in Computer Physics Communications

R2 v1 2026-06-22T22:12:36.431Z