标题： 广义相对论与费米物质的规范形式主义 显示英文标题

标题： Gauge Formalism for General Relativity and Fermionic Matter

摘要： 在纤维丛上的变分法框架内，发展了一种用于弯曲空间旋量的新形式。 该理论具有规范理论的相同结构，并描述了引力场与旋量之间的相互作用。 还为广义相对论赋予了适当的规范结构，用旋量框架代替了度规场。 最后，在一般的协变形式下计算了守恒量和超势。 显示英文摘要

摘要： A new formalism for spinors on curved spaces is developed in the framework of variational calculus on fibre bundles. The theory has the same structure of a gauge theory and describes the interaction between the gravitational field and spinors. An appropriate gauge structure is also given to General Relativity, replacing the metric field with spin frames. Finally, conserved quantities and superpotentials are calculated under a general covariant form.