Infraparticle Scattering States in Non-Relativistic QED: II. Mass Shell Properties
Thomas Chen, Juerg Froehlich, Alessandro Pizzo
TL;DR
This paper investigates the spectral and regularity properties of infraparticle states in non-relativistic QED, focusing on the electron's mass shell, which is essential for understanding infraparticle scattering phenomena.
Contribution
It provides rigorous proofs of spectral and regularity properties of the electron's mass shell in non-relativistic QED, advancing the mathematical understanding of infraparticle states.
Findings
Characterization of the electron's mass shell in non-relativistic QED.
Establishment of spectral properties of infraparticle states.
Foundational results for constructing infraparticle scattering states.
Abstract
We study the infrared problem in the usual model of QED with non-relativistic matter. We prove spectral and regularity properties characterizing the mass shell of an electron and one-electron infraparticle states of this model. Our results are crucial for the construction of infraparticle scattering states, which are treated in a separate paper.
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