Locality and renormalization: universal properties and integrals on trees
- 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.
| Author details: | Pierre ClavierGND, Li Guo, Sylvie PaychaORCiDGND, Bin ZhangORCiD |
|---|---|
| DOI: | https://doi.org/10.1063/1.5116381 |
| ISSN: | 0022-2488 |
| ISSN: | 1089-7658 |
| Title of parent work (English): | Journal of mathematical physics |
| Publisher: | American Institute of Physics |
| Place of publishing: | College Park, Md. |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2020/02/03 |
| Publication year: | 2020 |
| Release date: | 2023/10/10 |
| Volume: | 61 |
| Issue: | 2 |
| Article number: | 022301 |
| Number of pages: | 19 |
| Funding institution: | Natural Science Foundation of ChinaNational Natural Science Foundation; of China (NSFC) [11521061, 11771190, 11890663, 11821001]; German; Research Foundation (DFG)German Research Foundation (DFG) [FOR 2402] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
