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 |