论文标题
无质量费米斯的可解决的代数
A solvable algebra for massless fermions
论文作者
论文摘要
在无质量粒子状态的情况下，我们得出了四个矢量的稳定剂，也称为Wigner的小组，是适当的正面洛伦兹的最大溶解亚组，该尺寸为四个尺寸四，称为Borel亚组。在没有质量的情况下，粒子状态被分解为左手和右手的手性状态，由最大可溶子组$ {\ rm sol} _2 _2^\ pm $ pm的最大可溶子组约束。构建诱导的洛伦兹转化并应用于粒子状态的一般表示。最后，在我们的结论中，有人认为，自旋叶片贡献如何与非物理自旋算子的发生密切相关。
We derive the stabiliser group of the four-vector, also known as Wigner's little group, in case of massless particle states, as the maximal solvable subgroup of the proper orthochronous Lorentz group of dimension four, known as the Borel subgroup. In the absence of mass, particle states are disentangled into left- and right-handed chiral states, governed by the maximal solvable subgroups ${\rm sol}_2^\pm$ of order two. Induced Lorentz transformations are constructed and applied to general representations of particle states. Finally, in our conclusions it is argued how the spin-flip contribution might be closely related to the occurrence of nonphysical spin operators.
