Renormalisation and locality: branched zeta values

DOI10.4171/205-1/3zbMath1439.11219arXiv1807.07630OpenAlexW2887713625MaRDI QIDQ776424

Sylvie Paycha, Li Guo, Bin Zhang, Pierre J. Clavier

Publication date: 9 July 2020

Full work available at URL: https://arxiv.org/abs/1807.07630

zbMATH Keywords

localitysymbolsRota-Baxter algebrabranched zeta values

Mathematics Subject Classification ID

Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Hopf algebras and their applications (16T05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (9)

Smooth rough paths, their geometry and algebraic renormalization ⋮ Locality and renormalization: Universal properties and integrals on trees ⋮ Mathematical reflections on locality ⋮ Locality Galois groups of meromorphic germs in several variables ⋮ An algebraic formulation of the locality principle in renormalisation ⋮ The Hopf algebras of signed permutations, of weak quasi-symmetric functions and of Malvenuto-Reutenauer ⋮ From orthocomplementations to locality ⋮ An algebraic study of Volterra integral equations and their operator linearity ⋮ Double shuffle relations for arborified zeta values

Cites Work

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• Double shuffle relations for arborified zeta values
• Nested Sums of Symbols and Renormalized Multiple Zeta Values
• Renormalised conical zeta values
• Locality and renormalization: Universal properties and integrals on trees
• Affine transformations on symbols
• Chen's iterated integral represents the operator product expansion

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