5 years ago

Mode truncations and scattering in strong fields.

Anton Ilderton, Tom Heinzl, Daniel Seipt

Truncating quantum field theories to a dominant mode offers a non-perturbative approach to their solution, in particular when the single-mode theory can be solved exactly. Here we consider the interaction of charged scalar matter with a single mode of the electromagnetic field. The implied breaking of explicit Lorentz invariance prompts us to compare instant-form quantisation and front-form, with the latter yielding significant simplifications when light-front zero modes are included. As an application of our field theory results we assess the validity of existing first-quantised approaches to depletion effects in strong fields, and point out connections to the dressing approach to QED and its infra-red structure.

Publisher URL: http://arxiv.org/abs/1802.05933

DOI: arXiv:1802.05933v1

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