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- Title
Flow-oriented perturbation theory.
- Authors
Borinsky, Michael; Capatti, Zeno; Laenen, Eric; Salas-Bernárdez, Alexandre
- Abstract
We introduce a new diagrammatic approach to perturbative quantum field theory, which we call flow-oriented perturbation theory (FOPT). Within it, Feynman graphs are replaced by strongly connected directed graphs (digraphs). FOPT is a coordinate space analogue of time-ordered perturbation theory and loop-tree duality, but it has the advantage of having combinatorial and canonical Feynman rules, combined with a simplified iε dependence of the resulting integrals. Moreover, we introduce a novel digraph-based representation for the S-matrix. The associated integrals involve the Fourier transform of the flow polytope. Due to this polytope's properties, our S-matrix representation exhibits manifest infrared singularity factorization on a per-diagram level. Our findings reveal an interesting interplay between spurious singularities and Fourier transforms of polytopes.
- Subjects
PERTURBATION theory; QUANTUM field theory; FOURIER integrals; DUALITY theory (Mathematics); FEYNMAN diagrams; POLYTOPES
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 2, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP01(2023)172