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arXiv · 1303.3273

Scattering in Time-Dependent Basis Light-Front Quantization

Xingbo Zhao·Anton Ilderton·Pieter Maris·James P. Vary
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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.

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Xingbo Zhao, Anton Ilderton, Pieter Maris, James P. Vary. 2013-09-18. Scattering in Time-Dependent Basis Light-Front Quantization. https://doi.org/10.1103/physrevd.88.065014

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