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Renormalizability of Nonrenormalizable Field Theories

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arxiv hep-th/9812040 v1 pith:GNE3GM6V submitted 1998-12-04 hep-th

Alberto Blasi , Nicola Maggiore , Silvio P. Sorella , Luiz C. Q. Vilar This is my paper · ORCID
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keywords fieldnonrenormalizabletheoriesableactuallycohomologicallyconfinedelegant
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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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Cited by 1 Pith paper

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  1. Gauge-invariant Slavnov-Taylor Decomposition for Trilinear Vertices

    hep-th 2025-06 conditional novelty 5.0 of 10

    The paper extends the FMS sector-by-sector Slavnov-Taylor decomposition to trilinear vertices at one loop and tabulates ultraviolet divergent amplitudes that are claimed to satisfy the identities.

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