Dispersion Relations and High Energy Limits in Quantum Field Theory. III : Necessary Condition for Existence of Solutions of Dispersion Relations
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概要
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It is shown that pion-nucleon forward scattering amplitude must have zeros on the complex energy plane. This is derived by imposing the necessary condition for the existence of solutions on the dispersion relation for pion-nucleon forward scattering. By extending this result to the case of pion propagator, discussions against perturbation theory are made. Finally by applying this necessary condition to the dispersion relation given by Goldberger, it is concluded that either the pion-nucleon total cross sections increase at very high energies or Goldberger's dispersion relation has no solution.
- 理論物理学刊行会の論文
- 1961-06-25
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