Lorentz-Violating Electrodynamics Model

WU Jian-Feng; XUE Xun

Chinese Physics C> 2006, Vol. 30> Issue(10) : 950-955

Lorentz-Violating Electrodynamics Model

WU Jian-Feng ^, ,
XUE Xun

Department of Physics and Institute of Theoretical Physics East China Normal University, Shanghai 200062, China

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Abstract：
We propose an effective Lorentz-violating electrodynamics model via static de Sitter metric which is deviated from Minkowski metric by a minuscule amount depending on the cosmological constant. We obtain electromagnetic field equations via the vierbein decomposition of tensors. In addition, as an application of the electromagnetic field equations obtained, we get the solutions of electrostatic field and magnetostatic field due to a point charge and a circular current loop respectively. We also make some discussion on the implication of the Lorentz violation effect in our electromagnetic theory.

References

[1]

. Kostelecky V A, Mewes Matthew. Phys. Rev., 2002, D66: 0560052. Jackiw R, Kostelecky V A. Phys. Rev. Lett., 1999, 82: 35723. Coleman S, Glashow S L. hep-ph/98124184. Lehmert R, Potting R. hep-ph/04082855. Bluhm R, Kostelecky V A. Phys. Rev., 2005, D71: 0650086. Jacobson Ted, Liberati Stefano, Mattingly David. LorentzViolation at High Energy: Concepts, Phenomena and As-trophysical Constraints. Astro-ph/05052677. Perlmutter S et al. Astrophys. J., 1999, 517: 565. astro-ph/98121338. Riess A G et al. Astro. J., 1998, 116: 10099. Slusher R E, Eggleton B J(Eds.). Nonlinear Photonic Crys-tals. Berlin: Springer-Verlag, 2003. and References Therein10. Benett C L et al. Astrophys. J., 2003, 148(Suppl.): 111. Colladay D, Kostelecky V A. Phys. Rev., 1998, D58: 11600212. Kostelecky V A. Proceedings of the Second Meeting onCPT and Lorentz Symmetry. Bloomington, USA, 15-18August 2001, Singapore, World Scienti c, 200213. Spradlin Marcus, Strominger Andrew, Volovich Auasta-sia. Les Houches Lectures on de Sitter Space. arXiv: hep-th/011000714. Weinberg S. Gravity and Cosmology: Principles and Ap-plications of the General Theory of Relativity. John Wiley, 1971

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WU Jian-Feng and XUE Xun. Lorentz-Violating Electrodynamics Model[J]. Chinese Physics C, 2006, 30(10): 950-955.

WU Jian-Feng and XUE Xun. Lorentz-Violating Electrodynamics Model[J]. Chinese Physics C, 2006, 30(10): 950-955. shu

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Received: 2006-02-20
Revised: 2006-04-23

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沈阳化工大学材料科学与工程学院沈阳 110142

Lorentz-Violating Electrodynamics Model

WU Jian-Feng ^,
XUE Xun

Corresponding author: WU Jian-Feng,

Department of Physics and Institute of Theoretical Physics East China Normal University, Shanghai 200062, China

Received Date: 2006-02-20
Accepted Date: 2006-04-23
Available Online: 2006-10-05

Abstract: We propose an effective Lorentz-violating electrodynamics model via static de Sitter metric which is deviated from Minkowski metric by a minuscule amount depending on the cosmological constant. We obtain electromagnetic field equations via the vierbein decomposition of tensors. In addition, as an application of the electromagnetic field equations obtained, we get the solutions of electrostatic field and magnetostatic field due to a point charge and a circular current loop respectively. We also make some discussion on the implication of the Lorentz violation effect in our electromagnetic theory.