Carrollian propagator and amplitude in Rindler spacetime
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913761658404864 |
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| author | Li, Ang Long, Jiang Yang, Jing-Long |
| author_facet | Li, Ang Long, Jiang Yang, Jing-Long |
| contents | We study the three-dimensional Carrollian field theory on the Rindler horizon which is dual to a bulk massless scalar field theory in the four-dimensional Rindler wedge. The Carrollian field theory could be mapped to a two-dimensional Euclidean field theory in the transverse plane by a Fourier transform. After defining the incoming and outgoing states at the future and past Rindler horizon, respectively, we construct the boundary-to-boundary and bulk-to-boundary propagators that are consistent with the bulk Green's function in the literature. We investigate the tree-level Carrollian amplitudes up to four points. The tree-level four-point Carrollian amplitude in $Φ^4$ theory has the same structure as the one-loop triangle Feynman integral in the Lee-Pomeransky representation with complex powers in the propagators and spacetime dimension. Moreover, the four-point Carrollian amplitude with a zero energy state inserted at infinity in $Φ^4$ theory is proportional to the three-point Carrollian amplitude in $Φ^3$ theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20372 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Carrollian propagator and amplitude in Rindler spacetime Li, Ang Long, Jiang Yang, Jing-Long High Energy Physics - Theory We study the three-dimensional Carrollian field theory on the Rindler horizon which is dual to a bulk massless scalar field theory in the four-dimensional Rindler wedge. The Carrollian field theory could be mapped to a two-dimensional Euclidean field theory in the transverse plane by a Fourier transform. After defining the incoming and outgoing states at the future and past Rindler horizon, respectively, we construct the boundary-to-boundary and bulk-to-boundary propagators that are consistent with the bulk Green's function in the literature. We investigate the tree-level Carrollian amplitudes up to four points. The tree-level four-point Carrollian amplitude in $Φ^4$ theory has the same structure as the one-loop triangle Feynman integral in the Lee-Pomeransky representation with complex powers in the propagators and spacetime dimension. Moreover, the four-point Carrollian amplitude with a zero energy state inserted at infinity in $Φ^4$ theory is proportional to the three-point Carrollian amplitude in $Φ^3$ theory. |
| title | Carrollian propagator and amplitude in Rindler spacetime |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.20372 |