标题： 标量场在四维闵可夫斯基背景上的经典软光子定理 显示英文标题

标题： Classical Soft Graviton Theorem due to Scalar Fields on 4-D Minkowski Background

摘要： 经典软光子定理表达了低频引力辐射的行为。 在本文中，给出了在$4$-D Minkowski 背景下无质量及有质量标量场的经典软光子定理的简单证明，未考虑由于背景扰动对标量场和引力应力-能量张量行为的修正。 显示英文摘要

摘要： The classical soft graviton theorem expresses the behavior of low-frequency gravitational radiation. In this paper, simplistic proofs of the classical soft graviton theorem for massless and massive scalar fields on $4$-D Minkowski background are presented without considering the correction to the behavior of scalar fields and gravitational stress-energy tensor due to the perturbation in the background.