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T: Fachverband Teilchenphysik

T 21: Quantenfeldtheorie I

T 21.8: Vortrag

Donnerstag, 6. März 2008, 18:35–18:50, KGI-HS 1016

Reparameterization invariance of NRQED self-energy corrections and improved theory for excited D states in hydrogenlike systems — •Benedikt J. Wundt and Ulrich D. Jentschura — Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg

We verify the reparamaterization invariance of nonrelativistic quantum elctrodynamics by way of somewhat nontrivial example, given by the higher-order binding corrections to the one-photon self-energy for a bound state which we calculate with three different overlapping parameters (photon energy, photon mass and dimensional regularization). The overlapping parameter is necessary to seperate the relativistic scales of the virtual photons from the nonrelativistic ones. We show that all three reparametrizations commonly used in the literature (photon mass, photon energy and dimensional) give the same result as the canonical choice for this seperation which is given by a noncovariant photon-energy cutoff. Further, we present a numerical method where we use a discrete complete set of basis on a lattice which allows us to avoid the problems encoutered in the previous methods in the evaluation of the bound-spectrum part of the radiative correction. We obtain results for the Lamb-Shift of highly excited states that are important for high-precision spectroscopy.

[1] B. J. Wundt, and U. D. Jentschura, Phys. Lett. B, in press (2007).