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A series of lectures on various shades of the non-perturbative approach to calculating scattering amplitudes via the dispersion-theoretic approach, which took-off with a paper by Gell-Mann, Goldberger and Thirring, Phys. Rev. 95 1612 (1954), "Use Of Causality Conditions In Quantum Theory", wherein they DERIVE the Kramers-Kronig relation from the microcausality condition. This really started an explosion of interest in dispersion-theoretic techniques because it seemed that perturbative QFT, at the time, was failing on every front concerning the strong interactions. The historical survey by John David Jackson is valuable.

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