Locality and renormalization: Universal properties and integrals on trees

DOI10.1063/1.5116381zbMath1439.81078arXiv1811.01215OpenAlexW3005312757MaRDI QIDQ5110741

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

Publication date: 22 May 2020

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

Full work available at URL: https://arxiv.org/abs/1811.01215

zbMATH Keywords

quantum field theorycomputational methodsLie algebrascommutative algebraalgebraic structuresring theoryFeynman path integralsymmetric relationrenormalization and regularization

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Applications of Lie (super)algebras to physics, etc. (17B81) Path integrals in quantum mechanics (81S40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (6)

Hopf algebra of multidecorated rooted forests, free matching Rota-Baxter algebras and Gröbner-Shirshov bases ⋮ Quivers and path semigroups characterized by locality conditions ⋮ Mathematical reflections on locality ⋮ Locality Galois groups of meromorphic germs in several variables ⋮ From orthocomplementations to locality ⋮ Renormalisation and locality: branched zeta values

Cites Work

• Unnamed Item
• Unnamed Item
• Algebraic Birkhoff factorization and the Euler-Maclaurin formula on cones
• Renormalisation and locality: branched zeta values
• A conical approach to Laurent expansions for multivariate meromorphic germs with linear poles
• Operated semigroups, Motzkin paths and rooted trees
• Hopf algebras, renormalization and noncommutative geometry
• On the Hopf algebra strucutre of perturbative quantum field theories
• On overlapping divergences
• An algebraic formulation of the locality principle in renormalisation
• Geometric versus non-geometric rough paths
• Infinitesimal unitary Hopf algebras and planar rooted forests
• Double shuffle relations for arborified zeta values
• Conical zeta values and their double subdivision relations
• Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations.
• Homotopy Methods in Algebraic Topology
• Hopf algebras of rooted forests, cocyles, and free Rota-Baxter algebras
• Hopf Algebras in Renormalisation
• Renormalisation via locality morphisms
• Arborified Multiple Zeta Values
• Renormalization and Knot Theory
• Renormalization and Mellin Transforms
• Chen's iterated integral represents the operator product expansion

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