标题： 三维尺度不变的爱因斯坦-卡坦理论 显示英文标题

标题： Scale invariant Einstein-Cartan theory in three dimensions

摘要： 我们通过稍微修改旋量场的协变导数，通过对洛伦兹群的双重覆盖进行研究，回顾了著名的爱因斯坦-卡坦理论。我们首先在具有曲率和扭力的非黎曼时空中写出由爱因斯坦-希尔伯特项、狄拉克项和标量场项组成的拉格朗日量。然后通过解析求解仿射联络，以自洽的方式在黎曼时空重新表述该理论。最后我们讨论了我们的结果，并给出了该主题的未来展望。 显示英文摘要

摘要： 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.