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The European Physical Journal D

, Volume 58, Issue 1, pp 57–68 | Cite as

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

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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.

Keywords

Green Function Feynman Diagram Remainder Function Feynman Parameter Angular Factor 
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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Center for Advanced Studies, St. Petersburg State Polytechnical UniversitySt. PetersburgRussia

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