Evidence for the Absence of Regularization Corrections to the Partial-Wave Renormalization Procedure in One-Loop Self-Energy Calculations in External Fields
| Autor: | Goidenko, I., Plunien, G., Zschocke, S., Leonti Labzowsky, Soff, G. |
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| Jazyk: | angličtina |
| Rok vydání: | 2002 |
| Zdroj: | Phys. Rev. A 65 (2002) 042110 Scopus-Elsevier |
| Popis: | The equivalence of the covariant renormalization and the partial-wave renormalization (PWR) approaches is proven explicitly for the one-loop self-energy (SE) correction of a bound electron state in the presence of external perturbation potentials. No "spurious" correction terms to the noncovariant PWR scheme are generated for Coulomb-type screening potentials and for external magnetic fields. It is shown that in numerical calculations of the SE with Coulombic perturbation potential spurious terms result from an improper treatment of the unphysical high-energy contribution. A method for performing PWR utilizing the relativistic B-spline approach for construction of the Dirac spectrum in external magnetic fields is proposed. This method is applied for calculating QED corrections to the bound-electron g factor in H-like ions. Within a level of accuracy of about 0.1 % no spurious terms are generated in numerical calculations of the SE in magnetic fields |
| Databáze: | OpenAIRE |
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