Field Structure through Model Studies: Aspects of Nonrenormalizable Theories

  • John R. Klauder
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 11/1973)


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.


Zeroth Approximation Free Theory Scale Covariance Freedom System Orthogonal Measure 
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Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • John R. Klauder
    • 1
  1. 1.Bell LaboratoriesMurray HillUSA

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