Renormalizability of Nonrenormalizable Field Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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3 pages, revtex, no figures

Scientific paper

10.1103/PhysRevD.59.121701

We give a simple and elegant proof of the Equivalence Theorem, stating that two field theories related by nonlinear field transformations have the same S matrix. We are thus able to identify a subclass of nonrenormalizable field theories which are actually physically equivalent to renormalizable ones. Our strategy is to show by means of the BRS formalism that the "nonrenormalizable" part of such fake nonrenormalizable theories, is a kind of gauge fixing, being confined in the cohomologically trivial sector of the theory.

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