Renormalization in quantum field theory and the Riemann-Hilbert problem

DOI10.1088/1126-6708/1999/09/024zbMath0957.81011arXivhep-th/9909126OpenAlexW3105736159MaRDI QIDQ1588459

Alain Connes, Dirk Kreimer

Publication date: 4 December 2000

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9909126

zbMATH Keywords

Riemann-Hilbert problemrenormalizationdecorated Butcher groupmultiplicative extraction of finite values

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (16)

Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations ⋮ Higher loop corrections to a Schwinger-Dyson equation ⋮ Gauge symmetries and renormalization ⋮ Dimensional regularization in position space and a Forest Formula for Epstein-Glaser renormalization ⋮ Semiclassical trans-series from the perturbative Hopf-algebraic Dyson-Schwinger equations: \(\phi^3\) QFT in 6 dimensions ⋮ Position space equations for banana Feynman diagrams ⋮ The dynamics of non-perturbative phases via Banach bundles ⋮ Algebraic renormalisation of regularity structures ⋮ A short survey of noncommutative geometry ⋮ Ward identities and combinatorics of rainbow tensor models ⋮ Gravity-Matter Feynman Rules for any Valence ⋮ Massless Four-Loop Integrals and the Total Cross Section in e+ e− Annihilation ⋮ Ennea-algebras ⋮ Realizations of Hopf algebras of graphs by alphabets ⋮ Combinatorics of (perturbative) quantum field theory ⋮ The status and programs of scale relativity theory

This page was built for publication: Renormalization in quantum field theory and the Riemann-Hilbert problem