Journal article

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


Authors listSanchis-Alepuz, Helios; Williams, Richard

Publication year2018

Pages1-21

JournalComputer Physics Communications

Volume number232

ISSN0010-4655

eISSN1879-2944

Open access statusGreen

DOI Linkhttps://doi.org/10.1016/j.cpc.2018.05.020

PublisherElsevier


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. (C) 2018 Elsevier B.V. All rights reserved.



Citation Styles

Harvard Citation styleSanchis-Alepuz, H. and Williams, R. (2018) Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations, Computer Physics Communications, 232, pp. 1-21. https://doi.org/10.1016/j.cpc.2018.05.020

APA Citation styleSanchis-Alepuz, H., & Williams, R. (2018). Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations. Computer Physics Communications. 232, 1-21. https://doi.org/10.1016/j.cpc.2018.05.020



Keywords


Bethe-Salpeter/Faddeev equationsDyson-Schwinger approachFERMION PROPAGATORFORM-FACTORSHADRONSNon-perturbative methodsNUCLEONQCDVERTEX

Last updated on 2025-10-06 at 10:54