Self-energy of electrons in non-perturbative QED

Details Self-energy of electrons in non-perturbative QED Self-energy of electrons in non-perturbative QED

1999-08-20

arxiv.org/abs/math-ph/9908020v2

Physics

Mathematical Physics

16 pages, Latex, Replaces the version of August 20, 1999. A clarifying paragraph about perturbation theory was added after equ

Scientific paper

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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