Matching conditions at null infinity in the presence of logarithms: the role of advanced and retarded radiation

2025/10/24 by Briceño, Matías, González, Hernán A., Henneaux, Marc +1
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2510.21072

Abstract

We provide a new perspective on the general matching conditions between the future of past null infinity and the past of future null infinity, emphasizing the impact of dominant logarithmic terms in the asymptotic expansion of the fields near null infinity. We explicitly consider the cases of a massless scalar field and of electromagnetism. Key in our derivation is the identification of the physical origin of these logarithms, which are associated with advanced and retarded radiation saturating the finite energy flux condition at null infinity (in a space of functions which is made precise). The matching conditions arise then from the requirement of Coulombic (i.e., 1/r) behaviour at spatial infinity.

Citations

• Scalar subleading soft theorems from an infinite tower of charges
• Logarithmic angle-dependent gauge transformations at null infinity
• Electromagnetic multipole expansions and the logarithmic soft photon theorem
• Carrollian Partition Function for Bulk Yang-Mills Theory
• S-Matrix Path Integral Approach to Symmetries and Soft Theorems
• The BMS4 algebra at spatial infinity
• Lectures on the Infrared Structure of Gravity and Gauge Theory
• New Symmetries of QED
• Relaxing the parity conditions of asymptotically flat gravity
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
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Related

• Logarithmic matching between past infinity and future infinity: The massless scalar field
• Logarithmic angle-dependent gauge transformations at null infinity
• Electromagnetic multipole expansions and the logarithmic soft photon theorem
• Controlled regularity at future null infinity from past asymptotic initial data: massless fields
• Calculation of asymptotic charges at the critical sets of null infinity