All-multiplicity amplitudes in impulsive PP-waves from the worldline formalism
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arXiv
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| Format: | Preprint |
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2024
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| author | Copinger, Patrick Edwards, James P. Ilderton, Anton Rajeev, Karthik |
| author_facet | Copinger, Patrick Edwards, James P. Ilderton, Anton Rajeev, Karthik |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07385 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | All-multiplicity amplitudes in impulsive PP-waves from the worldline formalism Copinger, Patrick Edwards, James P. Ilderton, Anton Rajeev, Karthik High Energy Physics - Theory High Energy Physics - Phenomenology 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. |
| title | All-multiplicity amplitudes in impulsive PP-waves from the worldline formalism |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.07385 |