Equivalence of perturbation-theory techniques and the Bethe-Salpeter equation for summing Feynman diagrams

Swift, Arthur R. and Tucker, Robin (1970) Equivalence of perturbation-theory techniques and the Bethe-Salpeter equation for summing Feynman diagrams. Physical Review D, 2 (2). pp. 397-399. ISSN 1550-7998

Abstract

Polkinghorne's exact perturbation-theory equation for the leading Regge trajectory resulting from an infinite sum of ladder diagrams is shown to be mathematically equivalent to the partial-wave Bethe-Salpeter equation. Thus, the perturbation-theory equation can be used not only for the leading Regge trajectory, but for all secondary trajectories as well.