ORCID
- James P. Edwards: 0000-0001-6545-1193
Abstract
We use the worldline formalism to derive Bern-Kosower type Master Formulae for the tree-level scattering of a charged particle and an arbitrary number of photons on impulsive PP-waves, where the coupling of the PP-wave to matter is treated fully non-perturbatively. We show that, in a certain kinematic regime characterised by a semi-classical positive energy condition, both off-shell currents and scattering amplitudes exhibit two novel factorisation structures. First, they may be written as currents in vacuum but with a single additional photon, averaged over the momentum of that photon. This converts the all-orders interaction with the PP-wave into a single effective interaction. Second, the currents and amplitudes may be written as a weighted average of the corresponding quantities in an impulsive plane wave background, with the average taken over all possible field strengths of the plane wave. This generalises a known single-photon result to arbitrary multiplicity.
DOI Link
Publication Date
2024-09-20
Publication Title
Journal of High Energy Physics
Volume
2024
Issue
9
Acceptance Date
2024-09-03
Deposit Date
2024-10-03
Funding
The authors are supported by the EPSRC Standard Grants EP/X02413X/1 (PC, JPE) and EP/X024199/1 (AI, KR), and the STFC consolidator grant \u201CParticle Theory at the Higgs Centre,\u201D ST/X000494/1 (AI).
Additional Links
Keywords
Nonperturbative Effects, Scattering Amplitudes
Recommended Citation
Copinger, P., Edwards, J., Ilderton, A., & Rajeev, K. (2024) 'All-multiplicity amplitudes in impulsive PP-waves from the worldline formalism', Journal of High Energy Physics, 2024(9). Available at: 10.1007/JHEP09(2024)148
