Spectral Renormalization Group and Local Decay in the Standard Model of the Non-relativistic Quantum Electrodynamics

Abstract

We prove the limiting absorption principle for the standard model of the non-relativistic quantum electrodynamics (QED) and for the Nelson model describing interactions of electrons with phonons. To this end we use the spectral renormalization group technique on the continuous spectrum in conjunction with the Mourre theory.

References in corpus (6)

• Infraparticle Scattering States in Non-Relativistic QED: I. The Bloch-Nordsieck Paradigm
• Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED
• Analytic Perturbation Theory and Renormalization Analysis of Matter Coupled to Quantized Radiation
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Cited by in corpus (3)

• The structures of state space concerning Quantum Dynamical Semigroups
• Approach to ground state and time-independent photon bound for massless spin-boson models
• Resonances under Rank One Perturbations