Trivalent Feynman Diagrams as a Flag
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914177830879232 |
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| author | Yang, Lili |
| author_facet | Yang, Lili |
| contents | By identifying each standard flag with a trivalent Feynman diagram, the corresponding propagators can be read directly from the flag itself. Within the flag representation, the kinematic Jacobi identity (equivalently, the residue theorem on moduli spaces) admits a natural interpretation as the equivalence between a complete flag and its gapped counterpart. Using flags together with Orlik-Solomon algebras, we reconstruct the intersection numbers of twisted cocycles, thereby obtaining the bi-adjoint amplitude. Moreover, employing flag simplices enables the construction of the Z-amplitude in the alpha' -> 0 limit. By further examining pairings of specific flags, we also recover the Cachazo-He-Yuan (CHY) representation of the bi-adjoint amplitude. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19290 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Trivalent Feynman Diagrams as a Flag Yang, Lili High Energy Physics - Theory By identifying each standard flag with a trivalent Feynman diagram, the corresponding propagators can be read directly from the flag itself. Within the flag representation, the kinematic Jacobi identity (equivalently, the residue theorem on moduli spaces) admits a natural interpretation as the equivalence between a complete flag and its gapped counterpart. Using flags together with Orlik-Solomon algebras, we reconstruct the intersection numbers of twisted cocycles, thereby obtaining the bi-adjoint amplitude. Moreover, employing flag simplices enables the construction of the Z-amplitude in the alpha' -> 0 limit. By further examining pairings of specific flags, we also recover the Cachazo-He-Yuan (CHY) representation of the bi-adjoint amplitude. |
| title | Trivalent Feynman Diagrams as a Flag |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.19290 |