Abstract
The problem of continuation of the scaling functions for deep inelastic electron scattering into deep inelastic annihilation is discussed. Dynamical models are produced for which analytic continuation connects the two scaling functions and the general conditions are discussed. The dynamical characterization of those situations for which the analytic continuation rule is invalid is also given. The study also illustrates the structure of the singularities of the scaling functions in the ω-plane. Models studied include ladder diagrams and particular diagrams with unstable particles propagated. In the latter case cuts generally appear in the scaling functions in the kinematical region for annihilation.
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