Abstract
Qualitative features of quantum theories are examined with the aid of models. Attention is focussed on the fact that for sufficiently singular interaction potentials turning off the coupling need not restore the theory to a free theory. This effect is illustrated in a simple, single degree of freedom system. Analysis of the causes leads us to suggest that this effect may arise for covariant nonrenormalizable quantum field theories, and heuristic arguments are developed to support this proposal. For certain soluble noncovariant nonrenormalizable quantum field theories we verify the reality of the effect and comment on its significance, especially for perturbation analyses.
Lecture given at XII. Internationale Universitätswochen für Kernphysik, Schladming, February 5 – 17, 1973.
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References
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Klauder, J.R. (1973). Field Structure through Model Studies: Aspects of Nonrenormalizable Theories. In: Urban, P. (eds) Recent Developments in Mathematical Physics. Acta Physica Austriaca, vol 11/1973. Springer, Vienna. https://doi.org/10.1007/978-3-7091-7654-2_9
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DOI: https://doi.org/10.1007/978-3-7091-7654-2_9
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