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arxiv: hep-ph/9910525 · v1 · submitted 1999-10-27 · ✦ hep-ph

Low Energy Constants from High Energy Theorems

classification ✦ hep-ph
keywords chiralconstantsconstraintsenergyperturbationrepresentationsaturationsymmetry
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New constraints on resonance saturation in chiral perturbation theory are investigated. These constraints arise because each consistent saturation scheme must map to a representation of the full QCD chiral symmetry group. The low-energy constants of chiral perturbation theory are then related by a set of mixing angles. It is shown that vector meson dominance is a consequence of the fact that nature has chosen the lowest-dimensional nontrivial chiral representation. It is further shown that chiral symmetry places an upper bound on the mass of the lightest scalar in the hadron spectrum.

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