Gravity MHV amplitudes via Berends-Giele currents
Guardado en:
| Publicado en: | Journal of High Energy Physics vol. 2025, no. 11 (Nov 2025), p. 156 |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Publicado: |
Springer Nature B.V.
|
| Materias: | |
| Acceso en línea: | Citation/Abstract Full Text - PDF |
| Etiquetas: |
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| Resumen: | Berends and Giele derived the Parke-Taylor formula for Yang-Mills MHV amplitudes by computing Berends-Giele currents involving gluons of all-plus and all-but-one-plus helicities. Remarkably, the all-plus current already encodes much of the Parke-Taylor formula structure. The all-but-one-plus current satisfies a more intricate recursion relation than the all-plus case, but one that can still be solved explicitly. This current turns out to be proportional to the all-plus current, which explains why the essential features of the MHV formula are already present at the all-plus level.In this paper, we carry out an analogous program for gravity. The all-plus graviton Berends-Giele current satisfies a recursion relation that is more involved than in the Yang-Mills case, but whose explicit solution is known: a sum over spanning trees of the complete graph on n vertices. We derive and solve the recursion relation for the all-but-one-plus graviton current. The solution is again given by a sum over spanning trees, where each tree contributes a term proportional to the corresponding all-plus current, multiplied by a factor given by a sum over subtrees. Only a small subset of these terms contributes to the MHV amplitude, which we recover explicitly. This provides a direct derivation of the gravity MHV formula from the gravitational Feynman rules — achieving what Berends, Giele, and Kuijf in their 1987 paper regarded as “hard to obtain directly from quantum gravity”. |
|---|---|
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP11(2025)156 |
| Fuente: | Advanced Technologies & Aerospace Database |