Description of processes passing at finite space and time intervals in the framework of QFT

¹ Faculty of Physics, M.V. Lomonosov Moscow State University
² Skobeltsyn Institute of Nuclear Physics, M.V. Lomonosov Moscow State University

^* e-mail: egorov@theory.sinp.msu.ru
^** e-mail: volobuev@theory.sinp.msu.ru

Published online: 19 November 2019

Abstract

We consider a new approach to the description in the framework of QFT of processes passing at finite space and time intervals. The formalism is based on the Feynman diagram technique in the coordinate representation, in which the rules of passing to the momentum representation are modified in accordance with the experimental setup of neutrino oscillation experiments. In effect, only the propagators of particles in the momentum representation are modified, while all the other standard Feynman rules in the momentum representation remain the same. Since the initial and final particle states are described by plane waves, the approach does not need the use of wave packets, which greatly simplifies the calculations of amplitudes. Taking as examples the processes of displaced pion decay, neutral kaon and neutrino oscillations we show that the approach under consideration correctly reproduces the known standard results.