| Autor: |
Ishan Srivastava |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-18 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP04(2021)064 |
| Popis: |
Abstract The relationship between certain geometric objects called polytopes and scattering amplitudes has revealed deep structures in QFTs. It has been developed in great depth at the tree- and loop-level amplitudes in N $$ \mathcal{N} $$ = 4 SYM theory and has been extended to the scalar ϕ 3 and ϕ 4 theories at tree-level. In this paper, we use the generalized BCFW recursion relations for massless planar ϕ 4 theory to constrain the weights of a class of geometric objects called Stokes polytopes, which manifest in the geometric formulation of ϕ 4 amplitudes. We see that the weights of the Stokes polytopes are intricately tied to the boundary terms in ϕ 4 theories. We compute the weights of N = 1, 2, and 3 dimensional Stokes polytopes corresponding to six-, eight- and ten-point amplitudes respectively. We generalize our results to higher-point amplitudes and show that the generalized BCFW recursions uniquely fix the weights for an n-point amplitude. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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