Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations
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.
- Publication:
-
Computer Physics Communications
- Pub Date:
- November 2018
- DOI:
- 10.1016/j.cpc.2018.05.020
- arXiv:
- arXiv:1710.04903
- Bibcode:
- 2018CoPhC.232....1S
- Keywords:
-
- Dyson-Schwinger approach;
- Bethe-Salpeter/Faddeev equations;
- Non-perturbative methods;
- Hadrons;
- High Energy Physics - Phenomenology
- E-Print:
- 37 pages, 9 figures. Version accepted for publication in Computer Physics Communications