Scattering in Time-Dependent Basis Light-Front Quantization
Abstract
We introduce a nonperturbative, first principles numerical approach for solving time-dependent problems in quantum field theory, using light-front quantization. As a first application we consider QED in a strong background field, and the process of non-linear Compton scattering in which an electron is excited by the background and emits a photon. We track the evolution of the quantum state as a function of time. Observables, such as the invariant mass of the electron-photon pair, are first checked against results from perturbation theory, for suitable parameters. We then proceed to a test case in the strong background field regime and discuss the various nonperturbative effects revealed by the approach.
Cite
@article{arxiv.1303.3273,
title = {Scattering in Time-Dependent Basis Light-Front Quantization},
author = {Xingbo Zhao and Anton Ilderton and Pieter Maris and James P. Vary},
journal= {arXiv preprint arXiv:1303.3273},
year = {2013}
}
Comments
Version 2: 25 pages, 8 figures. References updated, typos fixed, extended discussion of background field choice added