Sketching the Bethe-Salpeter kernel
Nuclear Theory
2009-09-02 v1 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Experiment
Abstract
An exact form is presented for the axial-vector Bethe-Salpeter equation, which is valid when the quark-gluon vertex is fully dressed. A Ward-Takahashi identity for the Bethe-Salpeter kernel is derived therefrom and solved for a class of dressed quark-gluon vertex models. The solution provides a symmetry-preserving closed system of gap and vertex equations. The analysis can be extended to the vector equation. This enables a comparison between the responses of pseudoscalar- and scalar meson masses to nonperturbatively dressing the quark-gluon vertex. The result indicates that dynamical chiral symmetry breaking enhances spin-orbit splitting in the meson spectrum.
Keywords
Cite
@article{arxiv.0903.5461,
title = {Sketching the Bethe-Salpeter kernel},
author = {Lei Chang and Craig D. Roberts},
journal= {arXiv preprint arXiv:0903.5461},
year = {2009}
}
Comments
4 pages, 1 figure, 1 table