Finite Energy Sum Rules — Use and Interpretation
The finite energy sum rules (FESR) are a tool for investigating the structure of scattering amplitudes. Together with this technique there goes a certain philosophy. We try to explain both in this lecture. We do not present a complete survey of the subject and, therefore, many important contributions are omitted. We prefer to discuss several cases that can serve as a good example of the technique and a foundation for the philosophy.
KeywordsRegge Trajectory Real Analytic Function Fixed Pole Argand Diagram High Energy Behaviour
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Footnotes and References
- 3.Note that an odd (even)amplitude has an odd (even) real part and an even (odd) imaginary part. Therefore the right-signature FESR, that can be derived by integrations from-N to N are even (odd) respectively. The wrong signature FESR lead to Schwarz superconvergence relations; J. H. Schwarz, Phys. Rev. 159, 1269 (1967).ADSCrossRefGoogle Scholar
- G. F. Chew, Comments on Nuclear and Particle Physics, 2, 74 (1968).Google Scholar
- 16.J. Shapiro and J. Yellin, preprint 1968; F. Drago and S. Matsuda, preprint 1969.Google Scholar