标题： 关于五维洛伦兹群规范理论中的电弱模型的卡鲁扎-克莱因几何化 显示英文标题

标题： On the Kaluza-Klein geometrization of the Electro-Weak Model within a gauge theory of the 5-dimensional Lorentz group

摘要： 电弱模型的几何化是在一个五维黎曼-卡特框架中实现的。 物质旋量场通过选择适当的额外坐标依赖性和归一化因子扩展到五维。 U(1) 弱超荷规范场从卡鲁扎-克莱因方案中获得，而额外维度中扭曲场的四次投影被解释为 SU(2) 弱同位旋规范场。 SU(2) 发生器通过将弱同位旋流识别为局部洛伦兹群拉格朗日密度中的额外维度流分量得到。 几何化的 U(1) 和 SU(2) 群将为玻色子和旋量场提供适当的变换法则。 自旋联络将被发现完全是黎曼式的。 显示英文摘要

摘要： The geometrization of the Electro-Weak Model is achieved in a 5-dimensional Riemann-Cartan framework. Matter spinorial fields are extended to 5 dimensions by the choice of a proper dependence on the extra-coordinate and of a normalization factor. U(1) weak hyper-charge gauge fields are obtained from a Kaluza-Klein scheme, while the tetradic projections of the extra-dimensional contortion fields are interpreted as SU(2) weak isospin gauge fields. SU(2) generators are derived by the identification of the weak isospin current to the extra-dimensional current term in the Lagrangian density of the local Lorentz group. The geometrized U(1) and SU(2) groups will provide the proper transformation laws for bosonic and spinorial fields. Spin connections will be found to be purely Riemannian.