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- Dyson-Schwinger equations (3)
- equi-singular connections (3)
- Picard-Fuchs equations (2)
- counterterms (2)
- renormalization Hopf algebra (2)
- Connes-Kreimer Hopf algebra (1)
- Hopf algebra of Feynman diagrams (1)
- Perturbative renormalization (1)
- beta-functions (1)
- motivic Feynman rules (1)
- rooted trees (1)
- universal Hopf algebra of renormalization (1)
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- Institut für Mathematik (4) (entfernen)
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.