### Abstract

Canonically, the quantum electrodynamic radiative corrections in bound systems have been evaluated in photon energy regularization, i.e., using a noncovariant overlapping parameter that separates the high-energy relativistic scales of the virtual quanta from the nonrelativistic domain. Here, we calculate the higher-order corrections to the one-photon self-energy calculation with three different overlapping parameters (photon energy, photon mass and dimensional regularization) and demonstrate the reparameterization invariance of nonrelativistic quantum electrodynamics (NRQED) using this particular example. We also present new techniques for the calculation of the low-energy part of this correction, which lead to results for the Lamb shift of highly excited states that are important for high-precision spectroscopy.

Original language | English |
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Pages (from-to) | 571-575 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 659 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jan 24 2008 |

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### Keywords

- Field theory
- Gauge field theories
- Quantum electrodynamics/explicit calculations
- Relativistic and quantum electrodynamic effects in atoms and molecules

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*659*(3), 571-575. https://doi.org/10.1016/j.physletb.2007.11.062