Sketching the Bethe-Salpeter Kernel
Lei Chang, Craig D. Roberts
2009
Physical Review Letters
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
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... to nonperturbatively dressing the quark-gluon vertex. The result indicates that dynamical chiral symmetry breaking enhances spin-orbit splitting in the meson spectrum.
doi:10.1103/physrevlett.103.081601
pmid:19792713
fatcat:zppexjnbbfdllodrkxwqxk37oe