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Strong anomaly, spectral-density sum rules, and broken U(3)×U(3) symmetry
S. Debnath,
Published in
Volume: 27
Issue: 9
Pages: 2231 - 2234
We obtain, by making use of the anomaly term in the divergence of the flavor-singlet axial-vector-current, new spectral-function sum rules for the pseudoscalar density in a chiral-SU(3) × SU(3) × U3(1) framework. The positivity conditions on the spectral representations of the pseudoscalar densitites lead to a new bound on the quark-condensate term 0|q»q|0<-(279 MeV)3 (q=u, d, and s) corresponding to bare-current-quark values of mu=md5 MeV and m150 MeV. © 1983 The American Physical Society.
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