Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | One-loop graviton corrections to Maxwell's equations |
Autor: | Dalvit, D.A.R.; Mazzitelli, F.D.; Molina-Pans, C. |
Filiación: | T-6 Theoretical Division, MS B288, Los Alamos National Laboratory, Los Alamos, NM 87545, United States Departamento de Fisica J.J. Giambiagi, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires-Ciudad Universitaria, Pabellon I, 1428 Buenos Aires, Argentina Centra de Astrobiologia, CSIC-INTA, Carretera de Ajalvir Km. 4, 28850 Torrejon, Madrid, Spain
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Palabras clave: | article; birefringence; dispersion; electromagnetic field; electromagnetic radiation; energy; gravity; light; mathematical computing; polarization; space; time; velocity |
Año: | 2001
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Volumen: | 63
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Número: | 8
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.63.084023 |
Título revista: | Physical Review D
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ISSN: | 05562821
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v63_n8_p_Dalvit |
Referencias:
- Adler, S.L., (1971) Ann. Phys. (N.Y.), 67, p. 599
- Dittrich, W., Gies, H., (1998) Phys. Rev. D, 58, p. 025004
- Schwinger, J., (1951) Phys. Rev., 82, p. 664
- Tsai, W.-Y., Erber, T., (1975) Phys. Rev. D, 12, p. 1132
- Schamhorst, K., (1990) Phys. Lett. B, 236, p. 354
- Barton, G., (1990) Phys. Lett. B, 237, p. 559
- Drummond, I.T., Hathrell, S.J., (1980) Phys. Rev. D, 22, p. 343
- Daniels, R.D., Shore, G.M., (1994) Nucl. Phys., B425, p. 634
- Latorre, J.I., Pascual, P., Tarrach, R., (1995) Nucl. Phys., B437, p. 60
- Scharnhorst, K., (1998) Ann. Phys. (Leipzig), 7, p. 700
- Bakalov, D., (1998) Quantum Semiclassic. Opt., 10, p. 239
- Shore, G.M., (1996) Nucl. Phys., B460, p. 379
- Donoghue, J.F., (1994) Phys. Rev. D, 50, p. 3874
- Donoghue, J.F., (1994) Phys. Rev. Lett., 72, p. 2996
- Muzinich, I., Vokos, S., (1995) Phys. Rev. D, 52, p. 3472
- Hamber, H., Liu, S., (1995) Phys. Lett. B, 357, p. 51
- Dal Vit, D.A.R., Mazzitelli, F.D., (1997) Phys. Rev. D, 56, p. 7779
- Amelino-Camelia, G., (1998) Nature (London), 393, p. 763
- Gambini, R., Pullin, J., (1999) Phys. Rev. D, 59, p. 124021
- Alfaro, J., Morales-Tecotl, H., Urrutia, L.F., (2000) Phys. Rev. Lett., 84, p. 2318
- Dewitt, B.S., (1983) Proceedings of the les Houches Summer School of Theoretical Physics, pp. 381-738. , Relativity Groups and Topology, Les Houches, France, 1983, edited by B. S. DeWitt and R. Stora North-Holland, Amsterdam
- Dalvit, D.A.R., Mazzitelli, F.D., (1999) Phys. Rev. D, 60, p. 084018
- Kazakov, K., Pronin, P., (2000) Nucl. Phys., B573, p. 536
- (2000) Phys. Rev. D, 62, p. 044043
- Iguri, S., Mazzitelli, F.D., in preparation; Ashtekar, A., Rovelli, C., Smolin, L., (1992) Phys. Rev. Lett., 69, p. 237
- Alien, B., (1987) Nucl. Phys., B287, p. 743
- Yu, H., Ford, L.H., (1999) Phys. Rev. D, 60, p. 084023
- Ford, L.H., Parker, L., (1977) Phys. Rev. D, 16, p. 1601
- Bunch, T.S., (1980) J. Phys. A, 13, p. 1297
- Birrell, N.D., Davies, P.C.W., (1982) Quantum Fields in Curved Space, , Cambridge University Press, London
- Ellis, J., Mavromatos, N.E., Nanopoulos, D.V., (2000) Gen. Relativ. Gravit., 32, p. 127
- Ford, L.H., Svaiter, N.F., (1997) Phys. Rev. D, 56, p. 2226
- Lombarde, F.C., Mazzitelli, F.D., (1997) Phys. Rev. D, 55, p. 3889
- Calzetta, E., Campos, A., Verdaguer, E., (1997) Phys. Rev. D, 56, p. 2163
- Hu, B.L., Shiokawa, K., (1998) Phys. Rev. D, 57, p. 3474
- Shiokawa, K., (2000) Phys. Rev. D, 62, p. 024002
Citas:
---------- APA ----------
Dalvit, D.A.R., Mazzitelli, F.D. & Molina-Pans, C.
(2001)
. One-loop graviton corrections to Maxwell's equations. Physical Review D, 63(8).
http://dx.doi.org/10.1103/PhysRevD.63.084023---------- CHICAGO ----------
Dalvit, D.A.R., Mazzitelli, F.D., Molina-Pans, C.
"One-loop graviton corrections to Maxwell's equations"
. Physical Review D 63, no. 8
(2001).
http://dx.doi.org/10.1103/PhysRevD.63.084023---------- MLA ----------
Dalvit, D.A.R., Mazzitelli, F.D., Molina-Pans, C.
"One-loop graviton corrections to Maxwell's equations"
. Physical Review D, vol. 63, no. 8, 2001.
http://dx.doi.org/10.1103/PhysRevD.63.084023---------- VANCOUVER ----------
Dalvit, D.A.R., Mazzitelli, F.D., Molina-Pans, C. One-loop graviton corrections to Maxwell's equations. 2001;63(8).
http://dx.doi.org/10.1103/PhysRevD.63.084023