Null to time-like infinity Green's functions for asymptotic symmetries in Minkowski spacetime
Null to time-like infinity Green's functions for asymptotic symmetries in Minkowski spacetime
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DOI：
10.1007/jhep11(2015)160
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发表时间：
2015-11-24
影响因子：
5.4
通讯作者：
Campiglia, Miguel
中科院分区：
文献类型：
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作者：
Campiglia, Miguel
我们详细阐述了在[1,2]中出现的格林函数，当从无质量粒子推广到有质量粒子时，软定理和大规范对称的Ward恒等式之间的各种等价。我们对这些格林函数进行了相当详细的分析，并表明它们形成了一个层次函数，分别描述了大U(1)规范参数、超平移和球矢量场的“边界到体”传播子。作为一致性检验，我们验证了与大微分同态相关的格林函数将零无穷处的庞加莱群映射到类时无穷处的庞加莱群。
We elaborate on the Green's functions that appeared in [1, 2] when generalizing, from massless to massive particles, various equivalences between soft theorems and Ward identities of large gauge symmetries. We analyze these Green's functions in considerable detail and show that they form a hierarchy of functions which describe 'boundary to bulk' propagators for large U(1) gauge parameters, supertranslations and sphere vector fields respectively. As a consistency check we verify that the Green's functions associated to the large diffeomorphisms map the Poincare group at null infinity to the Poincare group at time-like infinity.