arXiv 1409.05082014-09hep-phhep-th

高阶洛仑兹不变性破坏、量子引力与微调

Higher-order Lorentz-invariance violation, quantum gravity and fine-tuning

Carlos M. Reyes, Sebastian Ossandon, Camilo Reyes

备注：: 11 pages, new version with the correct pole extraction
发表信息：: Physics Letters B (2015), pp. 190-193
DOI：: 10.1016/j.physletb.2015.05.006

摘要：

研究了含有高阶算子的有效理论中的洛仑兹微调问题。为此，我们专注于Myers-Pospelov扩展QED与五维运营商在光子部门和标准费米子。我们计算了费米子在单圈阶下的自能，考虑了它的偶、奇$CPT$贡献。在偶数扇区中，我们发现对QED通常参数的小的辐射修正也是有限的。在奇数扇区的轴向运营商显示包含未抑制的影响洛伦兹违反导致可能的微调。我们使用维数正则化来处理发散和一般的首选四向量。在洛伦兹违反理论的重整化过程中，我们采取了第一步，得到了可以接受的小修正，从而可以设置约束$ξ<6 \times10^{-3}$。

英文摘要：

The issue of Lorentz fine-tuning in effective theories containing higher-order operators is studied. To this end, we focus on the Myers-Pospelov extension of QED with dimension-five operators in the photon sector and standard fermions. We compute the fermion self-energy at one-loop order considering its even and odd $CPT$ contributions. In the even sector we find small radiative corrections to the usual parameters of QED which also turn to be finite. In the odd sector the axial operator is shown to contain unsuppressed effects of Lorentz violation leading to a possible fine-tuning. We use dimensional regularization to deal with the divergencies and a generic preferred four-vector. Taking the first steps in the renormalization procedure for Lorentz violating theories we arrive to acceptable small corrections allowing to set the bound $ξ<6 \times10^{-3}$.

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