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Renormalizability of nonrenormalizable field theories

Alberto Blasi, Nicola Maggiore, Silvio P. Sorella, and Luiz C. Q. Vilar
Phys. Rev. D 59, 121701(R) – Published 3 May 1999
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Abstract

We give a simple 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 Becchi-Rouet-Stora 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.

  • Received 8 December 1998

DOI:https://doi.org/10.1103/PhysRevD.59.121701

©1999 American Physical Society

Authors & Affiliations

Alberto Blasi1,*, Nicola Maggiore1,†, Silvio P. Sorella2,‡, and Luiz C. Q. Vilar2,§

  • 1Dipartimento di Fisica, Università di Genova, via Dodecaneso 33, I-16146 Genova, Italy
  • 2UERJ, Universidade do Estado do Rio de Janeiro, Departamento de Física Teórica, Rua São Francisco Xavier, 524, 20550-013, Maracanã, Rio de Janeiro, Brazil

  • *Email address: BLASI@GE.GE.INFN.IT
  • Email address: MAGGIORE@GE.INFN.IT
  • Email address: SORELLA@DFT.IF.UERJ.BR
  • §Email address: LCQVILAR@DDT.IF.UERJ.BR

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Vol. 59, Iss. 12 — 15 June 1999

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