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The Stability of Matter: From Atoms to Stars - Selecta of Elliott H. Lieb (Hardcover, 4th ed. 2005)
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The Stability of Matter: From Atoms to Stars - Selecta of Elliott H. Lieb (Hardcover, 4th ed. 2005)
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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."
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