Differential Dispersive Approach to Large Momentum Transfer Processes :

:. ABSTRACT Interpreting the renormalization group in terms of its natural differential dispersive character, we analyze systematically general large momentum transfer processes in the context of renormalizable interacting quantum fields . The possibility of a consistent treatment of such processes is thereby attained. This possibility arises mainly from the occurrence of a power series in the inverse of the scale at large momentum transfer in the respective solutions of field theorythat is to say, in the solutions as determined by the previously introduced dimensional analysis violating sources which underlie the dispersive character of the renormalization group. Hence, our results generally deviate from those of convention. They appear to be in reasonable accord with experiment.