• Corpus ID: 243832985

Semiclassical analysis of quantum asymptotic fields in the Yukawa theory

  title={Semiclassical analysis of quantum asymptotic fields in the Yukawa theory},
  author={Zied Ammari and Marco Falconi and Marco Olivieri},
. In this article, we study the asymptotic fields of the Yukawa particle-field model of quantum physics, in the semiclassical regime ℏ → 0, with an interaction subject to an ultraviolet cutoff. We show that the transition amplitudes between final (respectively initial) states converge towards explicit quantities involving the outgoing (respectively incoming) wave operators of the nonlinear Schr¨odinger–Klein–Gordon (S-KG) equation. Thus, we rigorously link the scattering theory of the Yukawa model… 
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