Ultralocal Quantum Field Theory

  • J. R. Klauder
Part of the Few-Body Systems book series (FEWBODY, volume 8/1971)


These notes cover lecture material presented at two 1971 Winter Schools.

A special class of model field theories, differing from relativistic theories by the absence of the spatial gradient in the Hamiltonian, is discussed. Simple operator solutions are constructed which circumvent the infinite mass renormalization, infinite coupling constant renormalization and infinite field strength renormalization inherent in a perturbation approach. A number of properties of these solutions are analyzed including the spectrum of the Hamiltonian. Compared to free field theories, the ultralocal models discussed herein may, conceivably, provide an alternate starting point to attack covariant field theories.


Field Operator Coherent State Model Function Local Operator Free Theory 
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Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • J. R. Klauder
    • 1
  1. 1.Bell Telephone Laboratories, IncorporatedMurray HillUSA

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