Correct electron-propagator and U-MATRIX renormalization replacing the inconsistent on-mass-shell renormalization and the renormalized natural line shape
J. Seke, Correct electron-propagator and U-MATRIX renormalization replacing the inconsistent on-mass-shell renormalization and the renormalized natural line shape, MOD PHY L B, 14(15), 2000, pp. 539-546
After pointing out the drastic violation of the U-matrix boundary condition
by the conventional quantum-field-theoretical on-mass-shell renormalizatio
n of the electron propagator, a new consistent renormalization concept (wit
hout mass and charge renormalization) is presented. From the correctly reno
rmalized bound-electron propagator (respectively, U-matrix), the natural li
ne shape is for the first time, after 50 years, correctly calculated in QFT
.