Matching conditions at null infinity in the presence of logarithms: the role of advanced and retarded radiation
Abstract
A bstract 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.
Fields of Study & Subjects
Advanced Mathematical Physics Problems
High-Energy Particle Collisions Research
Cosmology and Gravitation Theories
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 2
- Publication date
- 9 February 2026
- Language
- EN