The two-loop self-energy: diagrams in the coordinate-momentum representation

Abstract

The paper reports a technique of evaluation of Feynman diagrams in the mixed coordinate-momentum representation. The technique is employed for a recalculation of the two-loop self-energy correction for the ground state of hydrogen-like ions with the nuclear charge numbers Z=10-30. The numerical accuracy is considerably improved as compared to the previous calculations. The higher-order (in Zα) remainder function is inferred from the numerical results and extrapolated towards Z=0 and 1. The extrapolated value for hydrogen is consistent (but still not in perfect agreement) with the analytical result obtained within the perturbative approach.

12 pages, 3 figures, 2 tables

References in corpus (5)

• Nonrelativistic QED approach to the Lamb shift
• Two-Loop Bethe Logarithms
• Non-perturbative calculation of the two-loop Lamb shift in Li-like ions
• Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic States
• Two-loop QED corrections with closed fermion loops

Cited by in corpus (6)

• Ground-state ionization energies of boronlike ions
• The Lamb shift of the $1s$ state in hydrogen: two-loop and three-loop contributions
• Two-loop electron self-energy for low nuclear charges
• Improved bound-electron g-factor theory through complete two-loop QED calculations
• QED approach to valence-hole excitation in closed shell systems
• Two-loop electron self-energy in bound-electron $g$ factor: diagrams in momentum-coordinate representation