An algebraic Birkhoff decomposition for the continuous renormalization group

DOI10.1063/1.1794366zbMath1064.81087arXivhep-th/0401157OpenAlexW2032302396MaRDI QIDQ3024143

Thomas Krajewski, Pierre Martinetti, Florian Girelli

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/hep-th/0401157

Mathematics Subject Classification ID

Related Items (3)

Rooted Tree Graphs and the Butcher Group: Combinatorics of Elementary Perturbation Theory ⋮ COMBINATORIAL HOPF ALGEBRAS IN QUANTUM FIELD THEORY I ⋮ The structure of renormalization Hopf algebras for gauge theories. I: Representing Feynman graphs on BV-algebras

Cites Work

• A renormalization group proof of perturbative renormalizability
• On the Butcher group and general multi-value methods
• ON THE ANTIPODE OF KREIMER'S HOPF ALGEBRA
• Spitzer's identity and the algebraic Birkhoff decomposition in pQFT
• Integrable renormalization I: The ladder case
• ON THE DIFFERENTIAL EQUATIONS OF THE CHARACTERS FOR THE RENORMALIZATION GROUP
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
• Unnamed Item

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