以太紧化中辐射修正的Kaluza-Klein质量
The radiatively corrected Kaluza-Klein masses in aether compactification
摘要:
本文讨论了在五维量子电动力学中补充了以太洛伦兹破坏项的Kaluza-Klein(KK)质量的辐射修正问题。具体来说,我们计算的修正KK光子质量从一个费米子圈。一般来说,KK质量会受到辐射修正,因为紧化打破了五维洛伦兹不变性。正如我们所示,额外的洛伦兹破坏因子的存在-以太背景,导致这些修正的非平凡的修改。该模型可能是感兴趣的,在解决重要的现象学问题,如辐射校正KK质量分裂的一个特定的模式和不确定性的测量和/或可能的空间变化的精细结构常数之间的关系。对于最近的精细结构常数的数据,我们发现一个KK质量分裂的大小为$\sim 0.01$兆电子伏的第一激发卡鲁扎-克莱因规范玻色子在TeV尺度。另一方面,大的KK模极限显示了一个非常有趣的现象,表明以太在保护更高模免受量子修正方面的非常特殊的作用。
英文摘要:
We address the issue of radiative corrections to Kaluza-Klein (KK) masses in five-dimensional QED supplemented by aether Lorentz-violating terms. Specifically, we compute the corrections to the KK photon masses from one fermion loop. In general, the KK masses receive radiative corrections due to breaking the five-dimensional Lorentz invariance by compactification. As we show, the presence of the additional Lorentz violating factor - an aether background, leads to the non-trivial modification of these corrections. This model may be of interest in addressing important phenomenological issues such as the relation between radiative corrected KK mass splitting of a particular mode and uncertainties in the measurements and/or possible spatial variation of the fine-structure constant. For the recent data on the fine-structure constant, we find a KK mass splitting of magnitude $\sim 0.01$ MeV for the first excited Kaluza-Klein gauge boson at TeV scale. On the other hand, the large KK modes limit displays a very interesting phenomenon, showing the very special role of the aether in protecting the higher modes from the quantum corrections.
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