Tunnelling amplitudes through localised external potentials from Feynman diagram summation
arXiv:2405.11779 · doi:10.1140/epjc/s10052-024-13332-1
Abstract
Currently there is no general theory of quantum tunnelling of a particle through a potential barrier which is compatible with QFT. We present a complete calculation of tunnelling amplitudes for a scalar field for some simple potentials using quantum field-theoretic methods. Using the perturbative S-matrix formalism, starting with the Klein-Gordon Lagrangian, we show that an infinite summation of Feynman diagrams can recover tunnelling amplitudes consistent with relativistic quantum mechanics. While this work does not include many-particle effects arising from a fully quantised QFT, it is necessary to investigate QFT corrections to tunnelling amplitudes.
8 pages
References in corpus (7)
- Advances in QED with intense background fields
- Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment
- Quantization of charged fields in the presence of critical potential steps
- Effective Action of QED in Electric Field Backgrounds II: Spatially Localized Fields
- False vacuum decay: an introductory review
- Regularization, renormalization and consistency conditions in QED with x-electric potential steps
- Potential Scattering in Dirac Field Theory