论文标题
爱因斯坦 - 卡丹的重力，物质和比例不变的概括
Einstein-Cartan gravity, matter, and scale-invariant generalization
论文作者
论文摘要
我们研究爱因斯坦 - 卡丹框架中标量和费米的重力。我们讨论了最通用的动作形式，其中包含质量维度不超过四个的术语，仅忽略了曲率二次贡献。通过明确解决扭转理论，我们得出了一个等效的度量理论，其中包含其他六维运算符。这为理论的宇宙学研究奠定了基础。我们还针对无尺度的情况进行了相同的分析，在这种情况下，以增加额外的标量自由度为代价消除了普朗克质量。最后，我们概述了由此产生的理论的现象学意义，尤其是通货膨胀和暗物质生产。
We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework. We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in curvature. By resolving the theory explicitly for torsion, we arrive at an equivalent metric theory containing additional six-dimensional operators. This lays the groundwork for cosmological studies of the theory. We also perform the same analysis for a no-scale scenario in which the Planck mass is eliminated at the cost of adding an extra scalar degree of freedom. Finally, we outline phenomenological implications of the resulting theories, in particular to inflation and dark matter production.
