Lorentzian contours for tree-level string amplitudes
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909310381981696 |
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| author | Eberhardt, Lorenz Mizera, Sebastian |
| author_facet | Eberhardt, Lorenz Mizera, Sebastian |
| contents | We engineer compact contours on the moduli spaces of genus-zero Riemann surfaces that achieve analytic continuation from Euclidean to Lorentzian worldsheets. These generalized Pochhammer contours are based on the combinatorics of associahedra and make the analytic properties of tree-level amplitudes entirely manifest for any number and type of external strings. We use them in practice to perform first numerical computations of open and closed string amplitudes directly in the physical kinematics for $n=4,5,6,7,8,9$. We provide a code that allows anyone to do such computations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_07051 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lorentzian contours for tree-level string amplitudes Eberhardt, Lorenz Mizera, Sebastian High Energy Physics - Theory We engineer compact contours on the moduli spaces of genus-zero Riemann surfaces that achieve analytic continuation from Euclidean to Lorentzian worldsheets. These generalized Pochhammer contours are based on the combinatorics of associahedra and make the analytic properties of tree-level amplitudes entirely manifest for any number and type of external strings. We use them in practice to perform first numerical computations of open and closed string amplitudes directly in the physical kinematics for $n=4,5,6,7,8,9$. We provide a code that allows anyone to do such computations. |
| title | Lorentzian contours for tree-level string amplitudes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.07051 |