标题： 外尔拉格朗日量的平行传输表示 显示英文标题

标题： A teleparallel representation of the Weyl Lagrangian

摘要： 论文的主要结果是Weyl拉格朗日量（无质量狄拉克拉格朗日量）的新表示形式。 作为动力学变量，我们使用余标架，即协向量场的正交四元组。 我们写出一个简单的拉格朗日量——轴向扭转与余标架中一个类光元素的楔积，并证明对余标架进行变分会导致Weyl方程。 我们方法的优势在于它不需要使用旋量、泡利矩阵或协变微分。 我们仅使用的几何概念是度规、微分形式、楔积和外导数。 我们的结果为J.B.Griffiths和R.A.Newing提出的Weyl方程的标架表示赋予了变分意义。 显示英文摘要

摘要： The main result of the paper is a new representation of the Weyl Lagrangian (massless Dirac Lagrangian). As the dynamical variable we use the coframe, i.e. an orthonormal tetrad of covector fields. We write down a simple Lagrangian - wedge product of axial torsion with a lightlike element of the coframe - and show that variation of the resulting action with respect to the coframe produces the Weyl equation. The advantage of our approach is that it does not require the use of spinors, Pauli matrices or covariant differentiation. The only geometric concepts we use are those of a metric, differential form, wedge product and exterior derivative. Our result assigns a variational meaning to the tetrad representation of the Weyl equation suggested by J.B.Griffiths and R.A.Newing.