Lax pair equations and Connes-Kreimer renormalization

DOI10.1007/s00220-010-1034-7zbMath1220.37049OpenAlexW1990727565MaRDI QIDQ974681

Steven Rosenberg, Gabriel Baditoiu

Publication date: 4 June 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-010-1034-7

zbMATH Keywords

non-commutative geometryLax pairFeynman rules

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Hopf algebras and their applications (16T05)

Related Items (1)

6D SCFTs and phases of 5D theories

Cites Work

• On matrix differential equations in the Hopf algebra of renormalization
• The problem of integrable discretization: Hamiltonian approach
• Integrable renormalization. II: The general case
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• A Lie theoretic approach to renormalization
• Chen's iterated integral represents the operator product expansion
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
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