Ln. Labzowsky et Ao. Mitrushenkov, RENORMALIZATION OF THE 2ND-ORDER SELF-ENERGY FOR A TIGHTLY BOUND ATOMIC ELECTRON, Physics letters. A, 198(4), 1995, pp. 333-340
A renormalized expression for the gauge-invariant set of three second-
order bound self-energy graphs is obtained. A non-trivial extra counte
r term is found that is important for the cancellation of infrared div
ergences. Also, a new type of infrared divergences specific to the bou
nd-state QED is discussed and its cancellation is traced explicitly. T
he expression obtained is convenient for the application of the partia
l-wave renormalization technique.