The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
QED vacuum polarization in a background gravitational field and its effect on the velocity of photons
Abstract
We calculate in QED the contribution to the photon effective action from one-loop vacuum polarization on a general curved background manifold, and use it to investigate the corrections to the local propagation of photons. We find that the quantum corrections introduce tidal gravitational forces on the photons which in general alter the characteristics of propagation, so that in some cases photons travel at speeds greater than unity. The effect is nondispersive and gauge invariant. We look at a few examples, including a background Schwarzschild geometry, and we argue that although these results are controversial they do not in fact exhibit any obvious inconsistency.
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Cites
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
Folgerungen aus der Diracschen Theorie des Positrons
Heisenberg, W., & Euler, H. (1936) · Zeitschrift f�r Physik · doi:10.1007/bf01343663 · Cited by 2,833
Bondi, S. H. (1974) · Journal of the Franklin Institute · doi:10.1016/0016-0032(74)90062-3 · Cited by 2,797
Dynamical Theory of Groups and Fields
DeWitt, B. S., & Mullin, A. A. (1966) · American Journal of Physics · doi:10.1119/1.1953053 · Cited by 1,634
Photon splitting and photon dispersion in a strong magnetic field
Adler, S. L. (1971) · Annals of Physics · doi:10.1016/0003-4916(71)90154-0 · Cited by 831
The spectral geometry of a Riemannian manifold
Gilkey, P. B. (1975) · Journal of Differential Geometry · doi:10.4310/jdg/1214433164 · Cited by 701
One-loop divergences of quantized Einstein-Maxwell fields
Deser, S., & van Nieuwenhuizen, P. (1974) · Physical Review D · doi:10.1103/physrevd.10.401 · Cited by 362
Dimensional regularization, abnormal amplitudes and anomalies
Akyeampong, D. A., & Delbourgo, R. (1973) · Il Nuovo Cimento A · doi:10.1007/bf02786835 · Cited by 251
Stress-tensor trace anomaly in a gravitational metric: General theory, Maxwell field
Brown, L. S., & Cassidy, J. P. (1977) · Physical Review D · doi:10.1103/physrevd.15.2810 · Cited by 175
Stress-tensor trace anomaly in a gravitational metric: Scalar fields
Brown, L. S. (1977) · Physical Review D · doi:10.1103/physrevd.15.1469 · Cited by 175
Cited by
Harko, T., Lobo, F. S. N., Nojiri, S., & Odintsov, S. D. (2011) · Physical Review D · doi:10.1103/physrevd.84.024020 · Cited by 2,772
Gravity, Lorentz violation, and the standard model
Kostelecký, V. A. (2004) · Physical Review D · doi:10.1103/physrevd.69.105009 · Cited by 1,368
A systematic approach to generalisations of General Relativity and their cosmological implications
Heisenberg, L. (2019) · Physics Reports · doi:10.1016/j.physrep.2018.11.006 · Cited by 419
“It is interesting to note that this non-minimal coupling involves the same type of terms that are obtained when introducing vacuum polarization corrections from a curved background in standard electromagnetism [173].”
BackgroundBamba, K., Nojiri, S., & Odintsov, S. D. (2008) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2008/10/045 · Cited by 389
Generalized Curvature-Matter Couplings in Modified Gravity
Harko, T., & Lobo, F. (2014) · Galaxies · doi:10.3390/galaxies2030410 · Cited by 302
Metadata
- Authors
- Drummond, I. T., & Hathrell, S. J.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1980-07-15
- Volume
- 22
- Issue
- 2
- Pages
- 343-355
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2099635868
- Cited by
- 554
- References
- 15
- FWCI
- 0.85
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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