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SPECTRAL RENORMALIZATION GROUP AND LOCAL DECAY IN THE STANDARD MODEL OF NON-RELATIVISTIC QUANTUM ELECTRODYNAMICS

JÜRG FRÖHLICH

Institute for Theoretical Physics, ETH Zürich, CH-8093 Zürich, Switzerland

IHES, Bures-sur-Yvette, France

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MARCEL GRIESEMER

Department of Mathematics, University of Stuttgart, Pfaffenwaldring 57, D-70569, Stuttgart, Germany

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, and

ISRAEL MICHAEL SIGAL

Department of Mathematics, University of Toronto, 40, St. George Street, Bahen Centre, Toronto, ON M5S 2E4, Canada

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https://doi.org/10.1142/S0129055X11004266Cited by:10 (Source: Crossref)

Abstract

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

Keywords:

AMSC: 81Q10, 81T17, 84U99, 81V10

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