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Zbl 1128.81019
Klauder, John R.
A new approach to nonrenormalizable models.
(English)
[J] Ann. Phys. 322, No. 11, 2569-2602 (2007). ISSN 0003-4916

Nonrenormalizable quantum field theories require counter-terms and based on the hard-core interpretations of such interactions, it is initially argued, contrary to standard view, that counter-terms suggested by renormalized perturbation theory are in fact inappropriate for this purpose. Guided by the potential underlying causes of triviality of such models, as obtained by alternative analysis, the author focuses attention on the ground-state distribution function and suggests a formulation of such distributions that exhibits non triviality from the start. Primary discussion is focussed on self-interacting scalar fields. Conditions for bounds on general correlation functions are derived and there is some discussion of the issues involved with continuum limit.
[T. C. Mohan (Dehra Dun)]
MSC 2000:
*81T05 Axiomatic quantum field theory
81T15 Perturbative methods of renormalization

Keywords: quantum field theory; nonremoralizable quantum field theory

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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