Motivic Dyson-Schwinger equations
- We consider Dyson-Schwinger Equations (DSEs) in the context of Connes-Kreimer renormalization Hopf algebra of Feynman diagrams and Connes-Marcolli universal Tannakian formalism. This study leads us to formulate a family of Picard-Fuchs equations and a category of Feynman motivic sheaves with respect to each combinatorial DSE.
| Author details: | Ali Shojaei-Fard |
|---|---|
| DOI: | https://doi.org/10.1142/S0217751X13501029 |
| ISSN: | 0217-751X |
| Title of parent work (English): | International journal of modern physics : A, Particles and fields, gravitation, cosmology, nuclear physics |
| Publisher: | World Scientific |
| Place of publishing: | Singapore |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2013 |
| Publication year: | 2013 |
| Release date: | 2017/03/26 |
| Tag: | Connes-Kreimer Hopf algebra; Dyson-Schwinger equations; Picard-Fuchs equations; equi-singular connections; motivic Feynman rules; universal Hopf algebra of renormalization |
| Volume: | 28 |
| Issue: | 20 |
| Number of pages: | 19 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
