Worldline Proof of Eikonal Exponentiation
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915270854967296 |
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| author | Du, Yuchen Ajith, Siddarth Rajagopal, Ravisankar Vaman, Diana |
| author_facet | Du, Yuchen Ajith, Siddarth Rajagopal, Ravisankar Vaman, Diana |
| contents | In this paper, working in the eikonal approximation, we present a proof for the exponentiation of the 2-body eikonal phase to {\it all orders in the eikonal expansion}, for scalar particles interacting electromagnetically or gravitationally. The proof is based on the worldline formalism, which is an alternative, first quantized method to the standard QFT calculation of the scattering amplitude. We show that in the worldline formalism the 2-body scattering amplitude written in impact parameter space naturally factorizes at each loop order. This factorization is responsible for the exponentiation of the eikonal phase, a result which was anticipated in the work of Mogull, Plefka, and Steinhoff [2010.02865 [hep-th]]. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_12895 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Worldline Proof of Eikonal Exponentiation Du, Yuchen Ajith, Siddarth Rajagopal, Ravisankar Vaman, Diana High Energy Physics - Theory In this paper, working in the eikonal approximation, we present a proof for the exponentiation of the 2-body eikonal phase to {\it all orders in the eikonal expansion}, for scalar particles interacting electromagnetically or gravitationally. The proof is based on the worldline formalism, which is an alternative, first quantized method to the standard QFT calculation of the scattering amplitude. We show that in the worldline formalism the 2-body scattering amplitude written in impact parameter space naturally factorizes at each loop order. This factorization is responsible for the exponentiation of the eikonal phase, a result which was anticipated in the work of Mogull, Plefka, and Steinhoff [2010.02865 [hep-th]]. |
| title | Worldline Proof of Eikonal Exponentiation |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.12895 |