@article{ShojaeiFard2013,
  author    = {Shojaei-Fard, Ali},
  title     = {Motivic Dyson-Schwinger equations},
  series = {International journal of modern physics : A, Particles and fields, gravitation, cosmology, nuclear physics},
  volume    = {28},
  journal   = {International journal of modern physics : A, Particles and fields, gravitation, cosmology, nuclear physics},
  number    = {20},
  publisher = {World Scientific},
  address   = {Singapore},
  issn      = {0217-751X},
  doi       = {10.1142/S0217751X13501029},
  pages     = {19},
  year      = {2013},
  abstract  = {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.},
  language  = {en}
}
@article{ShojaeiFard2013,
  author    = {Shojaei-Fard, Ali},
  title     = {The global beta-functions from solutions of dyson-schwinger equations},
  series = {Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics},
  volume    = {28},
  journal   = {Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics},
  number    = {34},
  publisher = {World Scientific},
  address   = {Singapore},
  issn      = {0217-7323},
  doi       = {10.1142/S0217732313501526},
  pages     = {12},
  year      = {2013},
  abstract  = {We apply the geometric interpretation of Dyson-Schwinger equations (DSEs) in terms of equi-singular flat connections to provide a process which relates beta-functions of a DSE under different regularization schemes.},
  language  = {en}
}
@article{ShojaeiFard2013,
  author    = {Shojaei-Fard, Ali},
  title     = {A GEOMETRIC PERSPECTIVE ON COUNTERTERMS RELATED TO DYSON-SCHWINGER EQUATIONS},
  series = {INTERNATIONAL JOURNAL OF MODERN PHYSICS A},
  volume    = {28},
  journal   = {INTERNATIONAL JOURNAL OF MODERN PHYSICS A},
  number    = {32},
  publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD},
  address   = {SINGAPORE},
  issn      = {0217-751X},
  doi       = {10.1142/S0217751X13501704},
  pages     = {15},
  year      = {2013},
  abstract  = {We study Dyson-Schwinger equations (DSEs) in terms of some groups of diffeographisms to provide a new geometric formulation for their corresponding counterterms on the basis of systems of ordinary differential equations.},
  language  = {en}
}