arXiv 1306.02622013-06hep-ph

标准模型推广中CPT破缺引起的费米子的规范不变电磁性质

Gauge invariant electromagnetic properties of fermions induced by CPT violation in the Standard Model Extension

A. Moyotl, H. Novales-Sánchez, J. J. Toscano, E. S. Tututi

备注：: 13 pages, 1 figure, 1 table, a couple of references were added
发表信息：: Int.J.Mod.Phys. A29 (2014) 1450039
DOI：: 10.1142/S0217751X14500390

摘要：

低能洛伦兹不变量可以从产生小的洛伦兹破坏效应的基本理论中得到贡献。在量子电动力学的Lorentz破坏扩展中，我们微扰地研究了矢量背景场与费米子的$CPT$破坏轴向耦合对单圈$ffγ$顶点的贡献。我们发现，由此产生的顶点函数有一个更大的一组洛伦兹结构比一个表征通常的，洛伦兹不变，参数化的$ffγ$顶点。我们证明规范不变性的单圈表达式通过一组规范不变nonrenormalizable运营商引入新的物理效应在一阶和二阶洛伦兹违反，并产生树级贡献的$ffγ$顶点。而回路的贡献，涉及违反洛伦兹不变性的参数，在第一阶是$CPT$ -奇，那些出现在第二阶是$CPT$ -偶，所以对低能物理的贡献被限制在第一次出现在第二阶。在这种情况下，我们推导出费米子的反常磁矩的贡献，我们用它来设置一个约束的洛伦兹破坏。

英文摘要：

Low-energy Lorentz-invariant quantities could receive contributions from a fundamental theory producing small Lorentz-violating effects. Within the Lorentz-violating extension of quantum electrodynamics, we investigate, perturbatively, the contributions to the one-loop $ffγ$ vertex from the $CPT$-violating axial coupling of a vector background field to fermions. We find that the resulting vertex function has a larger set of Lorentz structures than the one characterizing the usual, Lorentz invariant, parametrization of the $ffγ$ vertex. We prove gauge invariance of the resulting one-loop expression through a set of gauge invariant nonrenormalizable operators introducing new-physics effects at the first and second orders in Lorentz violation, and which generate tree-level contributions to the $ffγ$ vertex. Whereas loop contributions involving parameters that violate Lorentz invariance at the first order are $CPT$-odd, those arising at the second order are $CPT$-even, so that contributions to low-energy physics are restricted to emerge for the first time at the second order. In this context, we derive a contribution to anomalous magnetic moment of fermions, which we use to set a bound on Lorentz violation.

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