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The Stability of Matter: From Atoms to Stars

The Stability of Matter: From Atoms to Stars Selecta of Elliott H. Lieb

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The Stability of Matter: From Atoms to Stars

Selecta of Elliott H. Lieb

Walter Thirring | F. Dyson | Elliott H. Lieb

Science / Physics / Quantum Theory

This fourth edition of selecta of my work on the stability of matter contains recent work on two topics that continue to fascinate me: Quantum electrodynamics (QED) and the Bose gas. Three papers have been added to Part VII on QED. As I mentioned in the preface to the third edition, there must be a way to formulate a non-perturbative QED, presumably with an ultraviolet cutoff, that correctly describes low energy physics, i.e., ordinary matter and its interaction with the electromagnetic field. The new paper VII.5, which “quantizes” the results in V.9, shows that the elementary ‘no-pair’ version of relativistic QED (using the Dirac operator) is unstable when many-body effects are taken into account. Stability can be restored, however, if the Dirac operator with the field, instead of the bare Dirac operator, is used to define an electron. Thus, the notion of a “bare” electron without its self-field is physically questionable.

Publication Date: 29 November 2004
Publisher: Springer Berlin Heidelberg
Imprint: Springer
ISBN-13: 9783540222125
Format: Hardback
Page Count: 932

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