# Scattering in relativistic quantum field theory: basic concepts, tools, and results

May 13, 2023

In this article an overview is provided of basic concepts, tools, and results of quantum field theoretical scattering theory for massive and massless particles. The appearance of infraparticles in theories with long range forces is also discussed as well as the longstanding problem of asymptotic completeness in quantum field theory.

This survey is prepared for the second edition of the Encyclopedia of Mathematical Physics, edited by M. Bojowald and R.J. Szabo. It is to be published by Elsevier.

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Keywords:

Keywords: M{\o}ller operators; scattering matrix; Haag-Ruelle scattering theory; LSZ reduction formulas; particle counters; massless particles; Huygens' principle; infraparticles; asymptotic completeness