Elliott H. Lieb, Michael Loss
SELF-ENERGY OF ELECTRONS IN NON-PERTURBATIVE QED
(46K, LaTeX 2e, no figures, 16 pages)

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.