A geometrical angle on Feynman integrals
| dc.creator | Davydychev, A. I. | |
| dc.creator | Delbourgo, R. | |
| dc.date | 1997-09-30 | |
| dc.date | 1998-10-13 | |
| dc.date.accessioned | 2026-07-07T11:10:24Z | |
| dc.date.available | 2026-07-07T11:10:24Z | |
| dc.description | A direct link between a one-loop N-point Feynman diagram and a geometrical representation based on the N-dimensional simplex is established by relating the Feynman parametric representations to the integrals over contents of (N-1)-dimensional simplices in non-Euclidean geometry of constant curvature. In particular, the four-point function in four dimensions is proportional to the volume of a three-dimensional spherical (or hyperbolic) tetrahedron which can be calculated by splitting into birectangular ones. It is also shown that the known formula of reduction of the N-point function in (N-1) dimensions corresponds to splitting the related N-dimensional simplex into N rectangular ones. | |
| dc.description | 47 pages, including 42 pages of the text (in plain Latex) and 5 pages with the figures (in a separate Latex file, requires axodraw.sty) a note and three references added, minor problem with notation fixed | |
| dc.identifier | https://arxiv.org/abs/hep-th/9709216 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9709216 | |
| dc.identifier | J.Math.Phys.39:4299-4334,1998 | |
| dc.identifier | doi:10.1063/1.532513 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/190769 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | A geometrical angle on Feynman integrals | |
| dc.type | text |