论文标题
比例尺不变的爱因斯坦 - 卡丹理论三维
Scale invariant Einstein-Cartan theory in three dimensions
论文作者
论文摘要
我们通过研究Lorentz组的双重覆盖物，稍微修改了旋转场的协变量，从而撤退了众所周知的爱因斯坦 - 卡丹理论。我们首先写了由爱因斯坦 - 希尔伯特（Einstein-Hilbert）术语，狄拉克（Dirac）术语和标量野外术语组成的拉格朗日（Lagrangian）。然后，通过分析地解决仿射连接，我们以一种自洽的方式在里曼尼亚时期重新制定了理论。最后，我们讨论了我们的结果，并给出了有关该主题的未来观点。
We retreat the well-known Einstein-Cartan theory by slightly modifying the covariant derivative of spinor field by investigating double cover of the Lorentz group. We first write the Lagrangian consisting of the Einstein-Hilbert term, Dirac term and a scalar field term in a non-Riemannian spacetime with curvature and torsion. Then by solving the affine connection analytically we reformulate the theory in the Riemannian spacetime in a self-consistent way. Finally we discuss our results and give future perspectives on the subject.
