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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Vydáno v:Advances in mathematics (New York. 1965) Ročník 137; číslo 2; s. 205 - 298
Hlavní autoři: Bach, Volker, Fröhlich, Jürg, Sigal, Israel Michael
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 10.08.1998
Témata:
Fock space
QED
renormalization group
resonances
spectrum
QED
Fock space
resonances
renormalization group
spectrum
ISSN:0001-8708, 1090-2082
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Popis
Shrnutí: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