Self-energy of electrons in non-perturbative QED

Elliott H. Lieb; Michael Loss

doi:10.1007/3-540-27056-6_40

Self-energy of electrons in non-perturbative QED

Elliott H. Lieb, Michael Loss

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Scopus citations

Abstract

Various models of charged particles interacting with a quantized, ultraviolet cutoff radiation field (but not with each other) are investigated. Upper and lower bounds are found for the self- or ground state-energies without mass renormalization. For N fermions the bounds are proportional to N, but for bosons they are sublinear, which implies 'binding', and hence that 'free' bosons are never free. Both 'relativistic' and non-relativistic kinematics are considered. Our bounds are non-perturbative and differ significantly from the predictions of perturbation theory.

Original language	English (US)
Title of host publication	The Stability of Matter
Subtitle of host publication	From Atoms to Stars: Fourth Edition
Publisher	Springer Berlin Heidelberg
Pages	607-623
Number of pages	17
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_40
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1007/3-540-27056-6_40

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abstract = "Various models of charged particles interacting with a quantized, ultraviolet cutoff radiation field (but not with each other) are investigated. Upper and lower bounds are found for the self- or ground state-energies without mass renormalization. For N fermions the bounds are proportional to N, but for bosons they are sublinear, which implies 'binding', and hence that 'free' bosons are never free. Both 'relativistic' and non-relativistic kinematics are considered. Our bounds are non-perturbative and differ significantly from the predictions of perturbation theory.",

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AU - Loss, Michael

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AB - Various models of charged particles interacting with a quantized, ultraviolet cutoff radiation field (but not with each other) are investigated. Upper and lower bounds are found for the self- or ground state-energies without mass renormalization. For N fermions the bounds are proportional to N, but for bosons they are sublinear, which implies 'binding', and hence that 'free' bosons are never free. Both 'relativistic' and non-relativistic kinematics are considered. Our bounds are non-perturbative and differ significantly from the predictions of perturbation theory.

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BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

Self-energy of electrons in non-perturbative QED

Abstract

All Science Journal Classification (ASJC) codes

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