ON SPECTRAL RENORMALIZATION GROUP

DOI10.1142/S0129055X09003682zbMath1180.81102arXiv0811.2616OpenAlexW3101213202MaRDI QIDQ5322324

Marcel Griesemer, Jürg Fröhlich, Israel Michael Sigal

Publication date: 20 July 2009

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2616

zbMATH Keywords

spectrumground staterenormalization groupresonancesnon-relativistic QED

Mathematics Subject Classification ID

Model quantum field theories (81T10) Spectrum, resolvent (47A10) Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (13)

One-boson scattering processes in the massive spin-boson model ⋮ Uniqueness of the ground state in the Feshbach renormalization analysis ⋮ Analyticity of the self-energy in total momentum of an atom coupled to the quantized radiation field ⋮ Analyticity of resonances and eigenvalues and spectral properties of the massless spin-boson model ⋮ Local decay in non-relativistic QED ⋮ SPECTRAL RENORMALIZATION GROUP AND LOCAL DECAY IN THE STANDARD MODEL OF NON-RELATIVISTIC QUANTUM ELECTRODYNAMICS ⋮ EXISTENCE OF GROUND STATES OF HYDROGEN-LIKE ATOMS IN RELATIVISTIC QED I: THE SEMI-RELATIVISTIC PAULI–FIERZ OPERATOR ⋮ Continuous renormalization group analysis of spectral problems in quantum field theory ⋮ Exponential localization of hydrogen-like atoms in relativistic quantum electrodynamics ⋮ Relation between the resonance and the scattering matrix in the massless spin-boson model ⋮ One-boson scattering processes in the massless spin-boson model. A non-perturbative formula ⋮ Existence of ground states of hydrogen-like atoms in relativistic quantum electrodynamics. II. The no-pair operator ⋮ Quantum electrodynamics of atomic resonances

Cites Work

• Unnamed Item
• Unified theory of nuclear reactions
• Infrared-finite algorithms in QED: the groundstate of an atom interacting with the quantized radiation field
• The renormalized electron mass in non-relativistic quantum electrodynamics
• On the smooth Feshbach-Schur map
• Infrared renormalization in non-relativistic QED and scaling criticality
• Resonances of the confined hydrogen atom and the Lamb-Dicke effect in non-relativistic QED
• Spectral theory for the standard model of non-relativistic QED
• Infrared-finite algorithms in QED. II. The expansion of the groundstate of an atom interacting with the quantized radiation field
• Renormalization group analysis of spectral problems in quantum field theory
• Quantum electrodynamics of confined nonrelativistic particles
• Smooth Feshbach map and operator-theoretic renormalization group methods.
• Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
• An infrared-finite algorithm for Rayleigh scattering amplitudes, and Bohr's frequency condition
• The dressed mobile atoms and ions
• Dynamics of Charged Particles and their Radiation Field

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