Bethe-Salpeter equation and a nonperturbative quark-gluon vertex

Details Bethe-Salpeter equation and a nonperturbative quark-gluon vertex Bethe-Salpeter equation and a nonperturbative quark-gluon vertex

2002-02-28

arxiv.org/abs/nucl-th/0202082v1

Phys.Rev.C65:065203,2002

Physics

Nuclear Physics

Nuclear Theory

16 pages, 12 figures, REVTEX4

Scientific paper

10.1103/PhysRevC.65.065203

A Ward-Takahashi identity preserving Bethe-Salpeter kernel can always be calculated explicitly from a dressed-quark-gluon vertex whose diagrammatic content is enumerable. We illustrate that fact using a vertex obtained via the complete resummation of dressed-gluon ladders. While this vertex is planar, the vertex-consistent kernel is nonplanar and that is true for any dressed vertex. In an exemplifying model the rainbow-ladder truncation of the gap and Bethe-Salpeter equations yields many results; e.g., pi- and rho-meson masses, that are changed little by including higher-order corrections. Repulsion generated by nonplanar diagrams in the vertex-consistent Bethe-Salpeter kernel for quark-quark scattering is sufficient to guarantee that diquark bound states do not exist.

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