Asymptotic charges in massless QED revisited: A view from Spatial Infinity

Abstract

Hamada and Shiu have recently shown that tree level amplitudes in QED satisfy an infinite hierarchy of soft photon theorems, the first two of which are Weinberg and Low's theorems respectively. In this paper we propose that in tree level massless QED, this entire hierarchy is equivalent to a hierarchy of (asymptotic) conservation laws. We prove the equivalence explicitly for the case of sub-subleading soft photon theorem and give substantial evidence that the equivalence continues to hold for the entire hierarchy. Our work also brings out the (complimentary) relationship between the asymptotic charges associated to soft theorems and the well known Newman-Penrose charges.

37 pages

References in corpus (4)

• Low's Subleading Soft Theorem as a Symmetry of QED
• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Subleading BMS charges and fake news near null infinity

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