Spectral Renormalization Group
Juerg Froehlich, Marcel Griesemer, Israel Michael Sigal
TL;DR
This paper extends and simplifies operator-theoretic renormalization group methods, enhancing their analytical power to study spectral properties of models like non-relativistic QED, with applications to the limiting absorption principle.
Contribution
The paper introduces a simplified and extended version of operator-theoretic RG methods for spectral analysis of quantum field models.
Findings
Enhanced RG methods for spectral analysis
Application to non-relativistic QED models
Establishment of the limiting absorption principle
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
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