论文标题
一般相对论
Fermionic current in general relativity
论文作者
论文摘要
总体而言，仿射连接必须为对称性，因此扭转为零，而根据cartan方程表示，根据cartan的理论扭转与自旋张量相连。根据爱因斯坦·卡坦（Einstein Cartan）理论的结果，我们考虑了纺纱器的总体相对论理论。在一般相对论中，仿射连接必须为对称性，因此扭转为零，而根据Einsten-Cartan的理论扭转，扭转量与cartan方程式所表达的旋转张量有关。根据爱因斯坦·卡坦（Einstein Cartan）理论的结果，我们考虑了纺纱物的总体相对论理论。这项工作始于对自旋连接系数的研究，规范矩的计算检测旋转电流。费米子旋转电流与扭转相关，如卡坦方程所解释的那样，即使仿射连接是对称的，我们也会发现这种扭转贡献。在最终的考虑中，我们分析了相互作用项（如Dirac Spinors的完整作用中所写），并将它们与线性重力的结果进行了比较。我们推断出，在线性化的理论中有很好的描述引力磁性，而自旋连接的项导致费米金电流被取消，因此我们的意思是这些术语描述了不同的相互作用。
In general relativity the affine connection is required to be symmetric so torsion is zero while according to the Einsten- Cartan's theory torsion is connected to the spin tensor as expressed by the Cartan's equations. We consider the theory of spinors in general relativity in the light of the results of Einstein Cartan's theory.In general relativity the affine connection is required to be symmetric so torsion is zero while according to the Einsten- Cartan's theory torsion is connected to the spin tensor as expressed by the Cartan's equations. We consider the theory of spinors in general relativity in the light of the results of Einstein Cartan's theory. This work begins with the study of the spin connection coefficients, the calculation of the canonical momenta detects a spinor rotational current; fermionic rotational current is associated with torsion as explained by Cartan's equations, we find this torsion contribution even if the affine connection is symmetric. In the final considerations, we analyze the interaction terms (as written in the full action for Dirac spinors) and we compare them with the results of linearized gravity. We deduce that Gravitomagnetism is well described in the linearized theory while the term of spin connection giving rise to fermionic current is canceled out, so we mean these terms are describing different interactions.
