RT Journal Article
T1 Multipoint fishnet Feynman diagrams: Sequential splitting
A1 Aprile, Francesco
A1 Olivucci, Enrico
AB We study fishnet Feynman diagrams defined by a certain triangulation of a planar n-gon, with massless scalars propagating along and across the cuts. Our solution theory uses the technique of separation of variables, in combination with the theory of symmetric polynomials and Mellin space. The n-point splitladders are solved by a recursion where all building blocks are made fully explicit. In particular, we find an elegant formula for the coefficient functions of the light-cone leading logs. When the diagram grows into a fishnet, we obtain new results exploiting a Cauchy identity decomposition of the measure over separated variables. This leads to an elementary proof of the Basso-Dixon formula at 4-points, while at n-points it provides a natural operator product expansion-like stratification of the diagram. Finally, we propose an independent approach based on "stampede" combinatorics to study the light-cone behavior of the diagrams as the partition function of a certain vertex model.
PB American Physical Society
SN 2470-0010
YR 2023
FD 2023-12-21
LK https://hdl.handle.net/20.500.14352/102020
UL https://hdl.handle.net/20.500.14352/102020
LA eng
NO 2023 Descuento SCOAP
NO Government of Canada through the Department of Innovation, Science, and Economic Development Canada
NO Province of Ontario through the Ministry of Colleges and Universities
NO Programa Ramón y Cajal
NO German Research Foundation (DFG)
NO Unión Europea. H2020
NO Fundacao de Amparo a Pesquisa do Estado de Sao Paulo
DS Docta Complutense
RD 11 abr 2025