无Higgs电弱模型与规范群的收缩
Higgsless Electroweak Model and Contraction of Gauge Group
摘要：
本文提出了一种在目标空间中具有三维球几何的电弱模型的修正公式。球面场空间中的{ \it free}拉格朗日量与标准规范场拉格朗日量一起形成了模型的完整无希格斯拉格朗日量，其二阶项再现了与标准电弱模型相同质量的相同实验验证场。矢量玻色子质量是自动产生的，不需要特殊的自发对称性破缺机制。本文讨论了修正的无希格斯玻色子电弱模型的极限情形，它对应于收缩规范群$SU(2;j)\times U(1)$。在极限模型Z玻色子的框架内，电磁场和电子场被解释为相对于W玻色子和中微子场的外场。W玻色子和中微子场对这些外场没有影响。与标准电弱模型相比，收缩模型中所有粒子的质量保持不变，但由于取消了某些项，场的相互作用更为简单。
英文摘要：
A modified formulation of the Electroweak Model with 3-dimensional spherical geometry in the target space is suggested. The {\it free} Lagrangian in the spherical field space along with the standard gauge field Lagrangian form the full Higgsless Lagrangian of the model, whose second order terms reproduce the same experimentally verified fields with the same masses as the Standard Electroweak Model. The vector bosons masses are automatically generated, so there is no need in special mechanism of spontaneous symmetry breaking. The limiting case of the modified Higgsless Electroweak Model, which corresponds to the contracted gauge group $SU(2;j)\times U(1)$ is discussed. Within framework of the limit model Z-boson, electromagnetic and electron fields are interpreted as an external ones with respect to W-bosons and neutrino fields. The W-bosons and neutrino fields do not effect on these external fields. The masses of all particles remain the same, but the field interactions in contracted model are more simple as compared with the standard Electroweak Model due to nullification of some terms.
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