Full quark-gluon vertex dynamics in the gap equation yields real poles with opposite-sign residues and a 350 MeV constituent mass, unlike prior approximations that produce complex poles.
The $\pi$, $K^+$, and $K^0$ electromagnetic form factors
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abstract
The rainbow truncation of the quark Dyson-Schwinger equation is combined with the ladder Bethe-Salpeter equation for the meson amplitudes and the dressed quark-photon vertex in a self-consistent Poincar\'e-invariant study of the pion and kaon electromagnetic form factors in impulse approximation. We demonstrate explicitly that the current is conserved in this approach and that the obtained results are independent of the momentum partitioning in the Bethe-Salpeter amplitudes. With model gluon parameters previously fixed by the condensate, the pion mass and decay constant, and the kaon mass, the charge radii and spacelike form factors are found to be in good agreement with the experimental data.
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QCD sum rules yield numerical tensor form factors for Ω^-, Σ^{*+}, and Ξ^{*-} up to 10 GeV² together with forward-limit quark tensor charges.
Calculates off-shell pion electromagnetic form factors in Bethe-Salpeter formalism with separable kernel, verifies Ward-Takahashi identity, and compares cross section to data.
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Pion off-shell form factors
Calculates off-shell pion electromagnetic form factors in Bethe-Salpeter formalism with separable kernel, verifies Ward-Takahashi identity, and compares cross section to data.