收缩规范群修正电弱模型的极限情形
Limiting Case of Modified Electroweak Model for Contracted Gauge Group
摘要：
提出了在物质场空间中对三维球几何电弱模型的修正。该模型的拉格朗日量由{ \it free}（不含任何势项）物质场拉格朗日量和标准规范场拉格朗日量之和给出。矢量玻色子质量通过将该拉格朗日量从笛卡尔坐标变换到球$S_3$上的坐标而产生。讨论了修正模型玻色子部分的极限情况，它对应于收缩规范群$SU(2;j)\times U(1)$。在极限模型的框架内，Z玻色子和电磁场可以看作是W玻色子场的外场，因为W玻色子场不影响这些外场。电弱模型中所有粒子的质量保持不变，但与标准电弱模型相比，收缩模型中的场相互作用更为简单。
英文摘要：
The modification of the Electroweak Model with 3-dimensional spherical geometry in the matter fields space is suggested. The Lagrangian of this model is given by the sum of the {\it free} (without any potential term) matter fields Lagrangian and the standard gauge fields Lagrangian. The vector boson masses are generated by transformation of this Lagrangian from Cartesian coordinates to a coordinates on the sphere $S_3$. The limiting case of the bosonic part of the modified model, which corresponds to the contracted gauge group $SU(2;j)\times U(1)$ is discussed. Within framework of the limit model Z-boson and electromagnetic fields can be regarded as an external ones with respect to W-bosons fields in the sence that W-boson fields do not effect on these external fields. The masses of all particles of the Electroweak Model remain the same, but field interactions in contracted model are more simple as compared with the standard Electroweak Model.
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