Open AccessGeometry and causal flux in multi-loop Feynman diagrams
Author(s) -
Germán F. R. Sborlini
Publication year - 2022
Publication title -
suplemento de la revista mexicana de física
Language(s) - English
Resource type - Journals
ISSN - 2683-2585
DOI - 10.31349/suplrevmexfis.3.020703
Subject(s) - feynman diagram , causality (physics) , loop (graph theory) , gravitational singularity , duality (order theory) , scattering amplitude , representation (politics) , diagrammatic reasoning , physics , amplitude , tree (set theory) , scattering , theoretical physics , mathematics , computer science , mathematical physics , quantum mechanics , mathematical analysis , pure mathematics , combinatorics , politics , political science , law , programming language
In this review, we discuss recent developments concerning efficient calculations of multi-loop multi-leg scattering amplitudes. Inspired by the remarkable properties of the Loop-Tree Duality (LTD), we explain how to reconstruct an integrand level representation of scattering amplitudes which only contains physical singularities. These so-called causal representations can be derived from connected binary partitions of Feynman diagrams, properly entangled according to specific rules. We will focus on the detection of flux orientations which are compatible with causality, describing the implementation of a quantum algorithm to identify such configurations.