A new approach to continuous multi-scale analysis in nonrelativistic QED: ground states and photon number bounds for the spin-boson model with critical infrared singularity

DOI10.1007/S00028-017-0417-ZzbMath1397.81466OpenAlexW2773969976MaRDI QIDQ1670268

Lars Menrath, Miguel Ballesteros, Volker Bach

Publication date: 5 September 2018

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-017-0417-z

zbMATH Keywords

spectral theorymulti-scale analysisPauli-Fierz modelspin-boson modelspectral renormalization

Mathematics Subject Classification ID

Model quantum field theories (81T10) General topics in linear spectral theory for PDEs (35P05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Electromagnetic interaction; quantum electrodynamics (81V10) Quantum optics (81V80) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (1)

Differential equations of quantum mechanics

Cites Work

• Ground states in the spin Boson model
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• Construction of the ground state in nonrelativistic QED by continuous flows
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• Mathematical theory of nonrelativistic matter and radiation
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• Continuous renormalization group analysis of spectral problems in quantum field theory
• Existence and construction of resonances for atoms coupled to the quantized radiation field
• The mass shell in the semi-relativistic Pauli-Fierz model
• Spin-boson model through a Poisson-driven stochastic process
• Existence of ground state eigenvalues for the spin-boson model with critical infrared divergence and multiscale analysis

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