@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} } @article{ShojaeiFard2014, author = {Shojaei-Fard, Ali}, title = {Counterterms in the context of the universal Hopf algebra of renormalization}, series = {International journal of modern physics : A, Particles and fields, gravitation, cosmology, nuclear physics}, volume = {29}, journal = {International journal of modern physics : A, Particles and fields, gravitation, cosmology, nuclear physics}, number = {8}, publisher = {World Scientific}, address = {Singapore}, issn = {0217-751X}, doi = {10.1142/S0217751X14500456}, pages = {15}, year = {2014}, abstract = {The manuscript discovers a new interpretation of counterterms of renormalizable Quantum Field Theories in terms of formal expansions of decorated rooted trees.}, language = {en} }