标题： 电弱场的几何结构 显示英文标题

标题： A geometry for the electroweak field

摘要： 电弱理论的结构由经典的几何思想提出。 构造了一个非线性映射，从三个外尔旋量的12维线性空间到与洛伦兹群相关的正交四面体Stiefel流形的12维切丛——不可避免地，除了一个零测度集。 在本文的方法中，电弱场比狄拉克场更自然。 这可能只是一个好奇现象，因为它可能在量子化过程中无法幸存，但它暗示了一种在(3+1)维中电弱场玻色子化的路径。 显示英文摘要

摘要： The structure of the electroweak theory is suggested by classical geometrical ideas. A nonlinear map is constructed, from a 12-dimensional linear space of three Weyl spinors onto the 12-dimensional tangent bundle of the Stiefel manifold of orthonormal tetrads associated with the Lorentz group -- except, inevitably, for a set of measure zero. In the approach of this paper, the electroweak field is more natural than the Dirac field. This may be just a curiosity since it may not survive quantization, but it suggests a path to bosonization of the electroweak field in (3+1) dimensions.