TY  - JOUR
A1  - Shojaei-Fard, Ali
T1  - Motivic Dyson-Schwinger equations
JF  - International journal of modern physics : A, Particles and fields, gravitation, cosmology, nuclear physics
N2  - 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.
KW  - Connes-Kreimer Hopf algebra
KW  - Dyson-Schwinger equations
KW  - equi-singular connections
KW  - motivic Feynman rules
KW  - Picard-Fuchs equations
KW  - universal Hopf algebra of renormalization
Y1  - 2013
U6  - https://doi.org/10.1142/S0217751X13501029
SN  - 0217-751X
VL  - 28
IS  - 20
PB  - World Scientific
CY  - Singapore
ER  -