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arXiv 2302.05236hep-th
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完整洛伦兹破缺真空极化张量:低能与高能极限

The full Lorentz-violating vacuum polarization tensor: low and high energy limits

J. C. C. Felipe, A. Yu. Petrov, A. P. Baêta Scarpelli, A. R. Vieira

AI总结:

该研究计算洛伦兹破缺QED费米子区的完整真空极化张量,分析其高低能极限的系数贡献与压低特性,并指出低能极限可应用于外尔半金属霍尔效应的凝聚态研究。

摘要:

我们计算了洛伦兹破缺QED(量子电动力学)费米子区的完整真空极化张量。即使假设费曼图满足动量路由不变性,也无法确定所有表面项并得到无歧义的真空极化张量。本文给出了该张量的低能与高能极限。在高能极限下,仅$c_{μν}$系数有贡献;在低能极限下,我们发现洛伦兹破缺诱导项仅依赖于$b_μ$、$c_{μν}$和$g_{μνλ}$系数,且会被$\frac{p^{2}}{m^{2}}$的幂次压低。该极限可用于推导其对凝聚态系统的影响,具体而言是外尔半金属中的霍尔效应。

英文摘要:

We compute the full vacuum polarization tensor in the fermion sector of Lorentz-violating QED. Even if we assume momentum routing invariance of the Feynman diagrams, it is not possible to fix all surface terms and find an unambiguity free vacuum polarization tensor. The high and low energy limits of this tensor is presented. In the high energy limit, only $c_{μν}$ coeffcients contribute. In the low energy limit, we fnd that Lorentz-violating induced terms depend only on $b_μ$, $c_{μν}$ and $g_{μνλ}$ coeffcients and they are suppressed by powers of $\frac{p^{2}}{m^{2}}$. This limit allows to obtain implications for condensed matter systems, explicitly, for the Hall effect in Weyl semimetals.

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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