论文标题
非本地田间理论的无效拉格朗日人
Null Lagrangians of non-local field theories
论文作者
论文摘要
该手稿提供了经典光滑拉格朗日密度的等效类别的表征,这些术语取决于理论的基本欧几里得基础空间的两个不同点。这种类型的理论被称为非本地场理论,这在量子重力的群体场理论方法中特别感兴趣。拉格朗日密度等效的概念是通过物理性不可区分的,它们的运动方程式将简短地显示出来。我们期望我们的结果对非本地定理有关差异对称性的非本地定理有更全面的看法。
This manuscript provides a characterisation of the equivalence class of classical smooth Lagrangian densities that involve terms depending on two distinct points of the underlying Euclidean base space of the theory. Theories of this type are referred to as non-local field theories, which are of particular interest in the group field theory approach to quantum gravity. The notion of equivalence of Lagrangian densities is set by physical indistinguishability by means of their equations of motion whose derivation is shown briefly. We expect our results to give a more comprehensive view on the non-local Noether theorem regarding divergence symmetries.