PhysRevD.73.025009.pdf (264.28 kB)
Quantum electrodynamics near a dielectric half-space
journal contribution
posted on 2023-06-07, 22:08 authored by Claudia Eberlein, Dieter RobaschikRadiative corrections in systems near imperfectly reflecting boundaries are investigated. As an example, the self-energy of an unbound electron close to a single surface is calculated at one-loop level. The surface is modeled by a nondispersive dielectric half-space of a constant refractive index n. In contrast to previous, perfectly reflecting models, the evanescent modes in the optically thinner medium are taken into account and are found to play a physically very important role. The Feynman propagator of the photon field is determined and given in two alternative representations, which include the evanescent modes either as a separate contribution or through analytic continuation and deformation of the integration path for the normal component of the complex wave vector k. The evaluation of the self-energy diagram encounters a number of problems that are specific to the boundary dependence and to the imperfect reflection at the boundary. These problems and methods for their resolution are discussed in depth.
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- Published
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Journal
Physical Review DISSN
1550-7998External DOI
Issue
2Volume
73Page range
025009Department affiliated with
- Physics and Astronomy Publications
Notes
The paper re-designs the formalism of quantum electrodynamics for a dielectric half-space located close-by and thus affecting the electromagnetic field. As an example, the 1-loop corrections to the electron's self-energy are calculated. I initiated the work and did it in collaboration with a visiting guest professor from Germany.Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06First Open Access (FOA) Date
2016-03-22First Compliant Deposit (FCD) Date
2017-03-13Usage metrics
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