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Locality and renormalization: Universal properties and integrals on trees

Published:2020-02-01 Issue:2 Volume:61 Page:022301
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Clavier Pierre¹^ORCID,Guo Li²^ORCID,Paycha Sylvie³,Zhang Bin⁴

Affiliation:

1. Institute of Mathematics, University of Potsdam, D-14476 Potsdam, Germany

2. Department of Mathematics and Computer Science, Rutgers University, Newark, New Jersey 07102, USA

3. Institute of Mathematics, University of Potsdam, D-14469 Potsdam, Germany

4. College of Mathematics, Sichuan University, Chengdu 610064, China

Funder

National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.5116381

Reference22 articles.

1. An algebraic formulation of the locality principle in renormalisation

2. Hopf Algebras, Renormalization and Noncommutative Geometry

3. On the Hopf algebra structure of perturbative quantum field theories

4. Chen’s iterated integral represents the operator product expansion

5. On Overlapping Divergences

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1. Locality Galois Groups of Meromorphic Germs in Several Variables;Communications in Mathematical Physics;2024-02

2. A topological splitting of the space of meromorphic germs in several variables and continuous evaluators;Complex Analysis and its Synergies;2024-01-31

3. Quivers and path semigroups characterized by locality conditions;Journal of Algebraic Combinatorics;2023-12-28

4. Mathematical Reflections on Locality;Jahresbericht der Deutschen Mathematiker-Vereinigung;2023-03-22

5. Hopf algebra of multidecorated rooted forests, free matching Rota–Baxter algebras and Gröbner–Shirshov bases;Pacific Journal of Mathematics;2022-07-14

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