Asymptotic charges in massless QED revisited: a view from spatial infinity
Resumen:
Hamada and Shiu have recently shown that tree level amplitudes in QED satisfy an in nite hierarchy of soft photon theorems, the rst 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.
| 2019 | |
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Gauge Symmetry Global Symmetries Scattering Amplitudes |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/27227 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución (CC - By 4.0) |
| Sumario: | Hamada and Shiu have recently shown that tree level amplitudes in QED satisfy an in nite hierarchy of soft photon theorems, the rst 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. |
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