Infraparticle Scattering States in Non-Relativistic QED: I. The Bloch-Nordsieck Paradigm
arXiv:0709.2493 · doi:10.1007/s00220-009-0950-x
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.
AMS Latex, 72 pages, 1 figure
References in corpus (2)
Cited by in corpus (31)
- Infraparticle Scattering States in Non-Relativistic QED: II. Mass Shell Properties
- Renormalized Electron Mass in Nonrelativistic QED
- Effective dynamics of an electron coupled to an external potential in non-relativistic QED
- Asymptotic structure of electrodynamics revisited
- From Faddeev-Kulish to LSZ. Towards a non-perturbative description of colliding electrons
- Multi-particle Representations of the Poincaré Group
- The mass shell in the semi-relativistic Pauli-Fierz model
- Infraparticle quantum fields and the formation of photon clouds
- Infrared finite scattering theory: Scattering states and representations of the BMS group
- Coulomb scattering in the massless Nelson model I. Foundations of two-electron scattering
- Infrared finite scattering theory: Amplitudes and soft theorems
- Compton scattering in the Buchholz-Roberts framework of relativistic QED
- Infrared problem in perturbative quantum field theory
- Spectral Renormalization Group and Local Decay in the Standard Model of the Non-relativistic Quantum Electrodynamics
- Continuous Spectrum of Automorphism Groups and the Infraparticle Problem
- Infraparticle problem, asymptotic fields and Haag-Ruelle theory
- Quantum Electrodynamics of Atomic Resonances
- Infraparticles with superselected direction of motion in two-dimensional conformal field theory
- On the Atomic Photoeffect in Non-relativistic QED
- Absence of Embedded Mass Shells: Cerenkov Radiation and Quantum Friction
- Curing velocity superselection in non-relativistic QED by restriction to a lightcone
- Strengthened Reeh-Schlieder Property and Scattering in Quantum Field Theories without Mass Gaps
- A Lorentz-Covariant Interacting Electron-Photon System in One Space Dimension
- Asymptotic completeness for infraparticles in two-dimensional conformal field theory
- Relative normalizers of automorphism groups, infravacua and the problem of velocity superselection in QED
- Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
- A soft-photon theorem for the Maxwell-Lorentz system
- Towards a construction of inclusive collision cross-sections in the massless Nelson model
- Infrared Finite Scattering Theory in Quantum Field Theory and Quantum Gravity
- Ground States for Infrared Renormalized Translation-Invariant Non-Relativistic QED
- Differential Equations of Quantum Mechanics