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A new approach to nonrenormalizable models. (English) Zbl 1128.81019
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.
MSC:
81T05Axiomatic quantum field theory; operator algebras
81T15Perturbative methods of renormalization (quantum theory)