Coherent infrared representations in non-relativistic QED

Details Coherent infrared representations in non-relativistic QED Coherent infrared representations in non-relativistic QED

2006-01-05

arxiv.org/abs/math-ph/0601009v2

Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday, Vol. I, Proc. Symp. Pure Math

Physics

Mathematical Physics

AMS Latex, 23 pages

Scientific paper

We consider dressed 1-electron states in a translation-invariant model of non-relativistic QED. To start with a well-defined model, the interaction Hamiltonian is cutoff at very large photon energies (ultraviolet cutoff) and regularized at very small photon energies (infrared regularization). The infrared regularization is then removed, and the representations of the canonical commutation relations of the electromagnetic field operators determined by the dressed 1-electron states are studied using operator-algebra methods. A key ingredient in our analysis is a bound on the renormalized electron mass uniform in the infrared regularization. Our results have important applications in the scattering theory for infraparticles.

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