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Generalized Wilson expansions in dimensional renormalization
Authors:P.S Collecott
Affiliation:Max-Planck-Institut für Physik und Astrophysik, Postfach 40 12 12, D-8000 München 40, Federal Republic of Germany
Abstract:Operator product expansions in the framework of dimensional regularization and renormalization are discussed. Following the definition of a subtraction operator for dimensionally regularized and points-split Green's functions, a generalized Wilson expansion pansion is proved. The terms of the expansion are normal products defined via dimensional renormalization, and the coefficients are doubly regularized with singularities in the physical dimension as the spacial separations of the product fields vanish, or at zero separations as the dimension of space-time becomes physical.
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