Calculation of the phi^4 6-loop non-zeta transcendental
| dc.creator | Schnetz, Oliver | |
| dc.date | 1999-12-16 | |
| dc.date.accessioned | 2026-07-07T04:27:27Z | |
| dc.date.available | 2026-07-07T04:27:27Z | |
| dc.description | We present an analytic calculation of the first transcendental in phi^4-Theory that is not of the form zeta(2n+1). It is encountered at 6 loops and known to be a weight 8 double sum. Here it is obtained by reducing multiple zeta values of depth <= 4. We give a closed expression in terms of a zeta-related sum for a family of diagrams that entails a class of physical graphs. We confirm that this class produces multiple zeta values of weights equal to the crossing numbers of the related knots. | |
| dc.description | 9 pages, LaTeX, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/9912149 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9912149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56427 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Calculation of the phi^4 6-loop non-zeta transcendental | |
| dc.type | text |