Abstract
Expanding the current propagators in the small and large momentum limit, in both the free field and spectral representations, is shown to lead to Weinberg's first sum rule for SU(3), or U(3), and either the Oakes-Sakurai or Das-Mathur-Okubo sum rules for cases of current or mass mixing, respectively. Resulting mass and coupling constant sum rules are listed for various choices of symmetry breaking and predictions of mixing angle and isovector masses for spin 1 and spin 0 mesons given. The method also allows systematic introduction of higher order symmetry breaking through the moment spectral integrals.
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