Sketching the Bethe-Salpeter kernel.
Journal Article
·
· Phys. Rev. Lett.
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.
- Research Organization:
- Argonne National Laboratory (ANL)
- Sponsoring Organization:
- SC; National Science Foundation of China; Gordon Godfrey Fund - Univ. of New South Wales
- DOE Contract Number:
- AC02-06CH11357
- OSTI ID:
- 964638
- Report Number(s):
- ANL/PHY/JA-63976
- Journal Information:
- Phys. Rev. Lett., Journal Name: Phys. Rev. Lett. Journal Issue: Aug. 21, 2009 Vol. 103; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- ENGLISH
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