Renormalization Group Analysis of Spectral Problems in Quantum Field Theory

In this paper we present a self-contained and detailed exposition of the new renormalization group technique proposed in [1, 2]. Its main feature is that the renormalization group transformation acts directly on a space of operators rather than on objects such as a propagator, the partition function...

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Bibliographic Details
Published in:Advances in mathematics (New York. 1965) Vol. 137; no. 2; pp. 205 - 298
Main Authors: Bach, Volker, Fröhlich, Jürg, Sigal, Israel Michael
Format: Journal Article
Language:English
Published: Elsevier Inc 10.08.1998
Subjects:
Fock space
QED
renormalization group
resonances
spectrum
QED
Fock space
resonances
renormalization group
spectrum
ISSN:0001-8708, 1090-2082
Online Access:Get full text
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Summary:In this paper we present a self-contained and detailed exposition of the new renormalization group technique proposed in [1, 2]. Its main feature is that the renormalization group transformation acts directly on a space of operators rather than on objects such as a propagator, the partition function, or correlation functions. We apply this renormalization transformation to a Hamiltonian describing the physics of an atom interacting with the quantized electromagnetic field, and we prove that excited atomic states turn into resonances when the coupling between electrons and field is nonvanishing.
ISSN:0001-8708
1090-2082
DOI:10.1006/aima.1998.1733