Pathologies of Noncanonical Dimensions

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Abstract
Noninteger-power and logarithmic light-cone singularities for forward matrix elements of current commutators are examined in connection with the scaling properties of the Compton amplitude in the Bjorken limit and with the asymptotic properties in the Regge limit. Properties of compact support for the scaling functions are lost for noninteger-power singularities, and fixed (simple or multiple) Regge poles occur with complex residues. The residues of the fixed Regge poles are related to integrals over the scaling functions.