@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} } @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} }