Extension of Renormalizability
Abstract
Arguments are provided which show that extension of renormalizability in quantum field theory is possible. A dressed scheme for the perturbation expansion is proposed. It is proven that in this scheme a nonrenormalizable interaction becomes renormalizable in the restrictive sense, i.e. its ultraviolet divergences can be cancelled by a finite number of counterterms included in the Lagrangian. As an illustration, the renormalization of the π-nucleon pseudovector interaction is discussed in some detail.
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