Abstract
We construct infraparticle scattering states for Compton scattering in the standard model of non-relativistic QED. In our construction, an infrared cutoff initially introduced to regularize the model is removed completely. We rigorously establish the properties of infraparticle scattering theory predicted in the classic work of Bloch and Nordsieck from the 1930’s, Faddeev and Kulish, and others. Our results represent a basic step towards solving the infrared problem in (non-relativistic) QED.
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Acknowledgements
The authors gratefully acknowledge the support and hospitality of the Erwin Schrödinger Institute (ESI) in Vienna in June 2006, where this collaboration was initiated. T.C. was supported by NSF grants DMS-0524909 and DMS-0704031. A.P. was supported by NSF grant DMS-0905988.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Chen, T., Fröhlich, J. & Pizzo, A. Infraparticle Scattering States in Non-Relativistic QED: I. The Bloch-Nordsieck Paradigm. Commun. Math. Phys. 294, 761–825 (2010). https://doi.org/10.1007/s00220-009-0950-x
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DOI: https://doi.org/10.1007/s00220-009-0950-x