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arXiv 0912.3053hep-ph
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Lorentz对称性自发破缺激发的规范不变非线性电动力学

Gauge invariant non-linear electrodynamics motivated by a spontaneous breaking of the Lorentz symmetry

Jorge Alfaro, Luis F. Urrutia

摘要:

本文介绍了一种新的非线性电动力学,它是由电磁场强度的非零期望值引起的洛伦兹不变性的自发对称性破缺产生的。对称性破缺势被认为有效地产生于基础理论中大质量规范玻色子和费米子的整合。真空的所有可能的选择只导致剩余的不变子群T(2)和HOM(2)。我们探讨了任意真空下模型线性化扇区的平面波解。他们提出了两种类型的色散关系。一个对应于通常的麦克斯韦电动力学的情况下,标准的极化性质的领域。另一个色散关系涉及由真空结构决定的各向异性。该模型在小Lorentz不变性破坏近似下是稳定的。我们已经将我们的模型嵌入到标准模型扩展的光子部分中,以便为我们的参数设置边界。计算了一般真空中的单向各向异性光速,其各向同性分量强有界于${\tilde δc}/c < 2 \times 10^{-32}$。各向异性破坏贡献估计通过引入另一种定义的光的双向速度在垂直方向$Δc$,这也是强有界的${Δc}/c < 10^{-32}$的差异。最后,我们推测了该模型的真空能量与宇宙学常数的关系,并提出了真空场与星系际磁场之间的联系。

英文摘要:

We introduce a new version of non-linear electrodynamics which is produced by a spontaneous symmetry breaking of Lorentz invariance induced by the non-zero expectation value of the electromagnetic field strength. The symmetry breaking potential is argued to effectively arise from the integration of massive gauge bosons and fermions in an underlying fundamental theory. All possible choices of the vacuum lead only to the remaining invariant subgroups T(2) and HOM(2). We explore the plane wave solutions of the linearized sector of the model for an arbitrary vacuum. They present two types of dispersion relations. One corresponds to the case of the usual Maxwell electrodynamics with the standard polarization properties of the fields. The other dispersion relation involves anisotropies determined by the structure of the vacuum. The model is stable in the small Lorentz invariance violation approximation. We have embedded our model in the photon sector of the Standard Model Extension in order to set bounds for our parameters. The one-way anisotropic speed of light is calculated for a general vacuum and its isotropic component is strongly bounded by ${\tilde δc}/c < 2 \times 10^{-32}$. The anisotropic violation contribution is estimated by introducing an alternative definition for the difference of the two-way speed of light in perpendicular directions $Δc$, which is also strongly bounded by ${Δc}/c < 10^{-32}$. Finally, we speculate on the relation of the vacuum energy of the model with the cosmological constant and propose a connection between the vacuum fields and the intergalactic magnetic fields.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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