One-loop graviton corrections to Maxwell's equations
We compute the graviton induced corrections to Maxwell's equations in the one-loop and weak field approximations. The corrected equations are analogous to the classical equations in anisotropic and inhomogeneous media. We analyze in particular the corrections to the dispersion relations. When t...
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2001
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paper:paper_05562821_v63_n8_p_Dalvit2023-06-08T15:42:26Z One-loop graviton corrections to Maxwell's equations Dalvit, Diego Alejandro Roberto Mazzitelli, Francisco Diego article birefringence dispersion electromagnetic field electromagnetic radiation energy gravity light mathematical computing polarization space time velocity We compute the graviton induced corrections to Maxwell's equations in the one-loop and weak field approximations. The corrected equations are analogous to the classical equations in anisotropic and inhomogeneous media. We analyze in particular the corrections to the dispersion relations. When the wavelength of the electromagnetic field is much smaller than a typical length scale of the graviton two-point function, the speed of light depends on the direction of propagation and on the polarization of the radiation. In the opposite case, the speed of light may also depend on the energy of the electromagnetic radiation. We study in detail wave propagation in two special backgrounds: flat Robertson-Walker and static, spherically symmetric spacetimes. In the case of a flat Robertson-Walker gravitational background we find that the corrected electromagnetic field equations correspond to an isotropic medium with a time-dependent effective refractive index. For a static, spherically symmetric background the graviton fluctuations induce a vacuum structure which causes birefringence in the propagation of light. ©2001 The American Physical Society. Fil:Dalvit, D.A.R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v63_n8_p_Dalvit http://hdl.handle.net/20.500.12110/paper_05562821_v63_n8_p_Dalvit |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
article birefringence dispersion electromagnetic field electromagnetic radiation energy gravity light mathematical computing polarization space time velocity |
| spellingShingle |
article birefringence dispersion electromagnetic field electromagnetic radiation energy gravity light mathematical computing polarization space time velocity Dalvit, Diego Alejandro Roberto Mazzitelli, Francisco Diego One-loop graviton corrections to Maxwell's equations |
| topic_facet |
article birefringence dispersion electromagnetic field electromagnetic radiation energy gravity light mathematical computing polarization space time velocity |
| description |
We compute the graviton induced corrections to Maxwell's equations in the one-loop and weak field approximations. The corrected equations are analogous to the classical equations in anisotropic and inhomogeneous media. We analyze in particular the corrections to the dispersion relations. When the wavelength of the electromagnetic field is much smaller than a typical length scale of the graviton two-point function, the speed of light depends on the direction of propagation and on the polarization of the radiation. In the opposite case, the speed of light may also depend on the energy of the electromagnetic radiation. We study in detail wave propagation in two special backgrounds: flat Robertson-Walker and static, spherically symmetric spacetimes. In the case of a flat Robertson-Walker gravitational background we find that the corrected electromagnetic field equations correspond to an isotropic medium with a time-dependent effective refractive index. For a static, spherically symmetric background the graviton fluctuations induce a vacuum structure which causes birefringence in the propagation of light. ©2001 The American Physical Society. |
| author |
Dalvit, Diego Alejandro Roberto Mazzitelli, Francisco Diego |
| author_facet |
Dalvit, Diego Alejandro Roberto Mazzitelli, Francisco Diego |
| author_sort |
Dalvit, Diego Alejandro Roberto |
| title |
One-loop graviton corrections to Maxwell's equations |
| title_short |
One-loop graviton corrections to Maxwell's equations |
| title_full |
One-loop graviton corrections to Maxwell's equations |
| title_fullStr |
One-loop graviton corrections to Maxwell's equations |
| title_full_unstemmed |
One-loop graviton corrections to Maxwell's equations |
| title_sort |
one-loop graviton corrections to maxwell's equations |
| publishDate |
2001 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v63_n8_p_Dalvit http://hdl.handle.net/20.500.12110/paper_05562821_v63_n8_p_Dalvit |
| work_keys_str_mv |
AT dalvitdiegoalejandroroberto oneloopgravitoncorrectionstomaxwellsequations AT mazzitellifranciscodiego oneloopgravitoncorrectionstomaxwellsequations |
| _version_ |
1768542556029714432 |