Phys. Rev. D 59, 121701(R) (1999) [3 pages]

Renormalizability of nonrenormalizable field theories

Abstract

References

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Alberto Blasi^1,*, Nicola Maggiore^1,†, Silvio P. Sorella^2,‡, and Luiz C. Q. Vilar^2,§
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

Received 8 December 1998; published 3 May 1999

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevD.59.121701

DOI:

10.1103/PhysRevD.59.121701

PACS:

11.10.Gh

^*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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Phys. Rev. D 59, 121701(R) (1999) [3 pages]

Renormalizability of nonrenormalizable field theories