The two-loop self-energy: diagrams in the coordinate-momentum representation
Center for Advanced Studies, St. Petersburg State
Polytechnical University, Polytekhnicheskaya 29, St. Petersburg, 195251, Russia
Corresponding author: firstname.lastname@example.org
Revised: 15 March 2010
Published online: 13 April 2010
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.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010