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Article Dans Une Revue Journal of Mathematical Physics Année : 2020

Locality and renormalization: Universal properties and integrals on trees

Li Guo
  • Fonction : Auteur
Sylvie Paycha
  • Fonction : Auteur
Bin Zhang
  • Fonction : Auteur

Résumé

The purpose of this paper is to build an algebraic framework suited to regularize branched structures emanating from rooted forests and which encodes the locality principle. This is achieved by means of the universal properties in the locality framework of properly decorated rooted forests. These universal properties are then applied to derive the multivariate regularization of integrals indexed by rooted forests. We study their renormalization, along the lines of Kreimer’s toy model for Feynman integrals.
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Dates et versions

hal-03723115 , version 1 (13-07-2022)

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Pierre Clavier, Li Guo, Sylvie Paycha, Bin Zhang. Locality and renormalization: Universal properties and integrals on trees. Journal of Mathematical Physics, 2020, 61 (2), ⟨10.1063/1.5116381⟩. ⟨hal-03723115⟩
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