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Analytic Extrapolation Techniques and Stability Problems in Dispersion Relation Theory

  • S. Ciulli
  • C. Pomponiu
  • I. Sabba Stefanescu
Conference paper
Part of the Acta Physica Austriaca Supplementum XIV book series (FEWBODY, volume 14/1975)

Abstract

The point we try to make is that in an indirect science like elementary particle physics, it is not sufficient to have a specific description of the world brought by some happy inspiration, but rather it is necessary to optimize among large classes of (preferably among all) possible logically equivalent “revelations”. Indeed, although the leading concepts of which every description of nature makes use should bear a very close relation to the experimentally accessible data, in those situations when the basic laws are inherited from other fields, their concepts may prove to be very remote from experiment, and to “measure” them one might have to go through wildly unstable inverse problems (ill posed problems in the Hadamard sense). Moreover, the instabilities of the inverse laws become especially dangerous when the corresponding “direct laws” are too smooth, as it happens in particle physics whenever we try to cling to classical concepts (Lagrangians, interaction terms, etc.) which were purposedly chosen to produce “good” classical physics laws.

Keywords

Dispersion Relation Analytic Continuation Particle Physic Stability Problem Accessible Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • S. Ciulli
    • 1
  • C. Pomponiu
    • 1
  • I. Sabba Stefanescu
    • 1
  1. 1.Institute for Atomic PhysicsBucharestRomania

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