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ON SPECTRAL RENORMALIZATION GROUP

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 May 2009Embargo end date: 01 Jan 2008Publisher:World Scientific Pub Co Pte LtJournal:Reviews in Mathematical Physics, volume 21, pages 511-548 (issn: 0129-055X, eissn: 1793-6659,

Authors: Israel Michael Sigal; Jürg Fröhlich; Jürg Fröhlich; Marcel Griesemer;

doi: 10.1142/s0129055x09003682 , 10.48550/arxiv.0811.2616

arXiv: http://arxiv.org/abs/0811.2616

ON SPECTRAL RENORMALIZATION GROUP

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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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Keywords

Mathematics - Functional Analysis, Mathematics - Spectral Theory, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Spectral Theory (math.SP), Mathematical Physics, Functional Analysis (math.FA)

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