Lectures on Analytic Properties of the S-matrix in Perturbation Theory |
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A₁ A₂ amplitude F anomalous threshold antiparticle assume barycentric branch cut branch point calculate consider CORN CORNELL CORNELL CORNELL CORNELL CORNELL UNIVERSITY CORNELL LIBRARY CORNELL OUNDED CORNELL UNIVERSITY CORNELL corresponding crossing relation crossing symmetry deuteron Dirac particle dispersion relation dual graph elastic scattering energy external F₁ F₂ Fe(s Feynman fixed Fizi form factors fourth order graph fourth order singularities function given Hence imaginary integral internal lines k₁ Landau-Bjorken equations LIBRARY LIBRARY LIBRARY UNIVERSITY loops M₁² M₂ M² ² M₂² Mandelstam diagram mass matrix meson momenta momentum nucleon obtain order graph P₁ P₂ partial wave expansion perturbation theory Phys physical region pion pole quantities real axis reduced graph Riemann surface S-matrix S₁ scalar particles scattering amplitude sheet spin spinors target third order unitarity UNIVE CORNELL UNIVERSIT UNIVERSITY LIBRARY CORNELL values vanishes variables vector vertex vertices write zero