论文标题
部分可观测时空混沌系统的无模型预测
The structure of cosmic strings of a $U(1)$ gauge field for the conservation of $B-L$
论文作者
论文摘要
我们考虑了标准模型的扩展，其中Baryon数字$ B $和Lepton Number $ L $之间的差异与Abelian仪表场一起测量，以解释确切的保存$ B-L $。为了避免量规异常，我们向每个fermion生成添加了右撇子中微子$ν_ {\ rm r} $。在这里，它不是无菌的，因此通常的Majorana术语被规格不变性排除在外。我们通过添加一个非标准的1-component Higgs字段来为$ν_ {\ rm rm} $提供质量术语，从而达到标准模型的一致扩展，其中$ b-l $的保护是自然的，具有适度的其他字段。我们通过求解两个希格斯磁场的耦合场方程和非标准u（1）量规场来研究宇宙字符串的可能形成。数值方法提供了相应的字符串配置文件，具体取决于希格斯绕组数字，从而满足字符串中心中的适当边界条件，并且远离它。
We consider an extension of the Standard Model, where the difference between the baryon number $B$ and the lepton number $L$ is gauged with an Abelian gauge field, in order to explain the exact conservation of $B-L$. To avoid a gauge anomaly, we add a right-handed neutrino $ν_{\rm R}$ to each fermion generation. Here it is not sterile, so the usual Majorana term is excluded by gauge invariance. We provide a mass term for $ν_{\rm R}$ by adding a non-standard 1-component Higgs field, thus arriving at a consistent extension of the Standard Model, where the conservation of $B-L$ is natural, with a modest number of additional fields. We study the possible formation of cosmic strings by solving the coupled field equations of the two Higgs fields and the non-standard U(1) gauge field. Numerical methods provide the corresponding string profiles, depending on the Higgs winding numbers, such that the appropriate boundary conditions in the string center and far from it are fulfilled.
