Nonrelativistic limit of quantum field theory

          @misc{ scivideos_PIRSA:08030071,
            doi = {10.48660/08030071},
            url = {https://pirsa.org/08030071},
            author = {Colin, Samuel},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Nonrelativistic limit of quantum field theory},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2008},
            month = {mar},
            note = {PIRSA:08030071 see, \url{https://scivideos.org/index.php/pirsa/08030071}}
          }
          

Abstract

It is usually expected that nonrelativistic many-body Schroedinger equations emerge from some QFT models in the limit of infinite masses. For instance, from Yukawa\'s QFT, if the initial state contains 2 fermions, we expect to recover a 2-fermion nonrelativistic Schroedinger equation with 2-body Yukawa potential (in the limit of infinite fermion mass). I will give an easy (but still heuristic) derivation of this, based on the analysis of the corresponding Feynman diagrams and on the behaviour of the complete propagators for large spacetime distances. Then, I may outline another possible derivation based on the Schroedinger picture and dressed particles.