Self-energy of electrons in non-perturbative QED

Elliott H. Lieb, Michael Loss

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations


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 languageEnglish (US)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Number of pages17
ISBN (Print)3540420835, 9783540222125
StatePublished - 2005

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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