Spectral Renormalization Group

Abstract

The operator-theoretic renormalization group (RG) methods are powerful analytic tools to explore spectral properties of field-theoretical models such as quantum electrodynamics (QED) with non-relativistic matter. In this paper these methods are extended and simplified. In a companion paper, our variant of operator-theoretic RG methods is applied to establishing the limiting absorption principle in non-relativistic QED near the ground state energy

42 pages, 3 figures

Cited by in corpus (9)

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• Uniqueness of the ground state in the Feshbach renormalization analysis
• Analyticity of Resonances and Eigenvalues and Spectral Properties of the massless Spin-Boson Model
• Existence of ground states of hydrogen-like atoms in relativistic QED I: The semi-relativistic Pauli-Fierz operator
• Existence of ground states of hydrogen-like atoms in relativistic QED II: The no-pair operator
• Quantum Electrodynamics of Atomic Resonances
• Relation between the Resonance and the Scattering Matrix in the massless Spin-Boson Model
• Degenerate perturbation theory for models of quantum field theory with symmetries