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ON SPECTRAL RENORMALIZATION GROUP

JÜRG FRÖHLICH

Institute for Theoretical Physics, ETH Zurich, Switzerland

IHES, Bures-sur-Yvette, France

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MARCEL GRIESEMER

Department of Mathematics, University of Stuttgart, D-70569 Stuttgart, Germany

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, and

ISRAEL MICHAEL SIGAL

Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4, Canada

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https://doi.org/10.1142/S0129055X09003682Cited by:15 (Source: Crossref)

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.

Keywords:

AMSC: 81T17, 47A55, 81V10

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