修正CPT奇标准模型扩展和最小长度的异向介质
Metamaterials from modified CPT-odd standard model extension and minimum length
摘要：
在这里，我们讨论的标准模型扩展的CPT奇洛伦兹破坏（LV）部门和变形海森堡代数，导致一个非交换理论的最小长度（ML）的存在。我们从这个理论中推导出麦克斯韦方程组，并考虑了电磁波和物质介质的通常影响的后果。然后，我们考虑了一组修改后的方程在材料介质和调查的超材料行为的LV和ML的结果。我们表明，一个负折射率可以从一个适当的$β$参数调谐的非对易性的存在下，而在LV的存在下，我们得到了一组修改的麦克斯韦方程在相应的物质场的条款明确依赖于物质场之间的相互作用的条款依赖于非对易性与背景场由于CPT奇数LV。我们的结论是，一组新的超材料可以导出作为CPT奇LV和最小长度的非交换性的结果。
英文摘要：
Here we discuss the standard model extension in the presence of CPT-odd Lorentz violation (LV) sector and of a deformed Heisenberg algebra that leads to a non-commutative theory with minimum length (ML). We derive the set of Maxwell equations emerging from this theory and considered the consequences with respect to the usual effects of electromagnetic waves and material media. We then considered the set of modified equations in material media and investigate the metamaterial behaviour as a consequence of LV and ML. We show that a negative index refraction can be derived from the presence of a non-commutativity suitably tuned by the $β$ parameter, while in the presence of LV, we obtained the set of modified Maxwell equation in terms of the corresponding material fields with terms depending explicitly from the terms of interaction between the material fields depending on non-commutativity with the background field due to CPT-odd LV. We conclude that a new set of metamaterials can be derived as a consequence of CPT-odd LV and non-commutativity with minimum length.
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