### 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 |
---|---|

Pages (from-to) | 571-575 |

Number of pages | 5 |

Journal | Physics Letters B |

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

**Reparameterization invariance of NRQED self-energy corrections and improved theory for excited D states in hydrogenlike systems.** / Wundt, Benedikt J.; Jentschura, U.

Research output: Contribution to journal › Article

*Physics Letters B*, vol. 659, no. 3, pp. 571-575. https://doi.org/10.1016/j.physletb.2007.11.062

}

TY - JOUR

T1 - Reparameterization invariance of NRQED self-energy corrections and improved theory for excited D states in hydrogenlike systems

AU - Wundt, Benedikt J.

AU - Jentschura, U.

PY - 2008/1/24

Y1 - 2008/1/24

N2 - 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.

AB - 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.

KW - Field theory

KW - Gauge field theories

KW - Quantum electrodynamics/explicit calculations

KW - Relativistic and quantum electrodynamic effects in atoms and molecules

UR - http://www.scopus.com/inward/record.url?scp=37549001014&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=37549001014&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2007.11.062

DO - 10.1016/j.physletb.2007.11.062

M3 - Article

VL - 659

SP - 571

EP - 575

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

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

SN - 0370-2693

IS - 3

ER -