On the definition of Carrollian amplitudes in general dimensions
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913574945816576 |
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| author | Liu, Wen-Bin Long, Jiang Xiao, Hong-Yang Yang, Jing-Long |
| author_facet | Liu, Wen-Bin Long, Jiang Xiao, Hong-Yang Yang, Jing-Long |
| contents | Carrollian amplitude is the natural object that defines the correlator of the boundary Carrollian field theory. In this work, we will elaborate on its proper definition in general dimensions. We use the vielbein field on the unit sphere to define the fundamental field with non-vanishing helicity in the local Cartesian frame which is the building block of the Carrollian amplitude. In general dimensions, the Carrollian amplitude is related to the momentum space scattering matrix by a modified Fourier transform. The Poincaré transformation law of the Carrollian amplitude in this definition has been discussed. We also find an isomorphism between the local rotation of the vielbein field and the superduality transformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20816 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the definition of Carrollian amplitudes in general dimensions Liu, Wen-Bin Long, Jiang Xiao, Hong-Yang Yang, Jing-Long High Energy Physics - Theory Carrollian amplitude is the natural object that defines the correlator of the boundary Carrollian field theory. In this work, we will elaborate on its proper definition in general dimensions. We use the vielbein field on the unit sphere to define the fundamental field with non-vanishing helicity in the local Cartesian frame which is the building block of the Carrollian amplitude. In general dimensions, the Carrollian amplitude is related to the momentum space scattering matrix by a modified Fourier transform. The Poincaré transformation law of the Carrollian amplitude in this definition has been discussed. We also find an isomorphism between the local rotation of the vielbein field and the superduality transformation. |
| title | On the definition of Carrollian amplitudes in general dimensions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.20816 |