Abstract
Finite-energy sum rules for the imaginary part of a current (weak or electromagnetic) proton scattering amplitude are related to the light-cone commutator of the currents. The different contributions to the sum rules are examined in detail with particular emphasis on the contribution of disconnected states. The relative importance of the diverse contributions as expected on the basis of the Regge pole model is exhibited. The restrictions on the contribution of disconnected states for the validity of the Dashen, Gell Mann, Fubini sum rule in the algebras of currents and gauge fields are given. The finite-energy sum rules for the deep inelastic structure functions are then related to the parameters appearing in the Gell-Mann, Fritzsch light-cone algebra and the consequences discussed.
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