电磁学与五维算子
Electromagnetism with dimension-five operators
摘要：
在弯曲时空中，我们推导出了最一般的洛伦兹破坏电磁拉格朗日量，它包含了比麦克斯韦项多一个导数的五维算子，假设洛伦兹对称性被背景四矢量$n_μ$破缺。然后，我们研究的情况下，各向同性的$n_μ$，宇宙磁场的产生在通货膨胀和宇宙双折射。在Minkowski时空的极限情形下，我们发现除了CPT奇Myers-Pospelov项之外，还存在另一个CPT奇项，它产生了非平凡的色散和本构关系。
英文摘要：
We derive, in curved spacetime, the most general Lorentz-violating electromagnetic Lagrangian containing dimension-five operators with one more derivative than the Maxwell term in the hypothesis that Lorentz symmetry is broken by a background four-vector $n_μ$. We then study, for the case of isotropic $n_μ$, the generation of cosmic magnetic fields at inflation and cosmic birefringence. In the limiting case of Minkowski spacetime, we find that other than the CPT-odd Myers-Pospelov term, there exists another CPT-odd term that gives rise to nontrivial dispersion and constitutive relations.
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