Renormalizability of Nonrenormalizable Field Theories

Abstract

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.

3 pages, revtex, no figures

References in corpus (1)

• Are Nonrenormalizable Gauge Theories Renormalizable?

Cited by in corpus (18)

• Extended Theories of Gravity
• The Astrophysics of Ultrahigh Energy Cosmic Rays
• The conformal frame freedom in theories of gravitation
• The (pseudo)issue of the conformal frame revisited
• Higgs Inflation and Naturalness
• Nonlocal quantum gravity and M-theory
• Conformally related metrics and Lagrangians and their physical interpretation in cosmology
• An Approach to the Equivalence Theorem by the Slavnov-Taylor Identities
• Self-interaction in classical gauge theories and gravitation
• On the Renormalization of the Complex Scalar Free Field Theory
• Gauge Invariant Description of the $SU(2)$ Higgs model: Ward identities and Renormalization
• Metamorphosis versus Decoupling in Nonabelian Gauge Theories at Very High Energies
• On the equivalence theorem for integrable systems
• The Equivalence Theorem in Effective Theories
• On Consistency Of Noncommutative Chern-Simons Theory
• Seiberg-Witten map for the 4D noncommutative BF theory
• The Abelian Higgs model under a gauge invariant looking glass: exploiting new Ward identities for gauge invariant operators and the Equivalence Theorem
• Modelling Cosmic Rays Flux with Pierre Auger and Telescope Array Data in $\mathbf{f}(\mathbf{R})$ and $\mathbf{f}(\mathbf{Q})$ Theories of Gravity