Beyond Rainbow-Ladder in bound state equations
High Energy Physics - Phenomenology
2015-06-18 v2 Nuclear Theory
Abstract
In this work we devise a new method to study quark anti-quark interactions beyond simple ladder-exchange that yield massless pions in the chiral limit. The method is based on the requirement to have a representation of the quark-gluon vertex that is explicitly given in terms of quark dressings functions. We outline a general procedure to generate the Bethe-Salpeter kernel for a given vertex representation. Our method allows not only the identification of the mesons' masses but also the extraction of their Bethe-Salpeter wave functions exposing their internal structure. We exemplify our method with vertex models that are of phenomenological interest.
Cite
@article{arxiv.1402.5042,
title = {Beyond Rainbow-Ladder in bound state equations},
author = {Walter Heupel and Tobias Goecke and Christian S. Fischer},
journal= {arXiv preprint arXiv:1402.5042},
year = {2015}
}
Comments
13 pages, 6 figures; v2: typos corrected, colors improved