论文标题
在非常特殊的相对论中校正旋转磁因子
Corrections to the Gyromagnetic Factor in Very Special Relativity
论文作者
论文摘要
我们认为在静态且均匀的磁场$ \ vec b $中，对$ c- $不变的dirac fermion的能量谱进行了非常特殊的相对性校正。首先，在$ \ vec b $的情况下，平行于空间VSR优先方向$ \ vec n $，发现能量谱的表达式保持不变，除了对VSR贡献产生的质量进行了校正。然后，我们放松并行性条件，为能量谱找到一个新方程。我们扰动地求解该方程。考虑到一个笔记陷阱的实验，我们将一阶VSR校正得出了电子的$ G-2 $因子。最后，使用电子$ g $因子测量的当前误差，在Penning陷阱的实验中，我们获得了与VSR电子质量参数的上限，因此还获得了$ 0.824 \ $ 0.824 \ ev $的VSR电子中微子质量。该结果与VSR成为中微子质量的起源并不矛盾。
We consider Very Special Relativity corrections to the energy spectrum of a $C-$invariant Dirac Fermion in a static and homogeneous magnetic field $\vec B$. First, in the case of $\vec B$ parallel to the spatial VSR preferred direction $\vec n$, finding that the expression for the energy spectrum stays the same, except for a correction to the mass arising from the VSR contribution. Then, we relax the parallelism condition, finding a new equation for the energy spectrum. We solve this equation perturbatively. With a Penning trap's experiment in mind, we derive the first order VSR corrections to the electron's $g-2$ factor. Finally, using the current errors on the electron's $g$-factor measurements in Penning trap's experiments, we obtain an upper bound to the VSR electron mass parameter, and therefore also to the VSR electronic neutrino mass, of $0.824 \, eV$. This result does not contradict the possibility for VSR to be the origin of neutrino masses.
