TY  - JOUR
A1  - Shojaei-Fard, Ali
T1  - Counterterms in the context of the universal Hopf algebra of renormalization
JF  - International journal of modern physics : A, Particles and fields, gravitation, cosmology, nuclear physics
N2  - The manuscript discovers a new interpretation of counterterms of renormalizable Quantum Field Theories in terms of formal expansions of decorated rooted trees.
KW  - Perturbative renormalization
KW  - renormalization Hopf algebra
KW  - counterterms
KW  - rooted trees
Y1  - 2014
U6  - https://doi.org/10.1142/S0217751X14500456
SN  - 0217-751X
SN  - 1793-656X
VL  - 29
IS  - 8
PB  - World Scientific
CY  - Singapore
ER  - 
TY  - JOUR
A1  - Shojaei-Fard, Ali
T1  - A GEOMETRIC PERSPECTIVE ON COUNTERTERMS RELATED TO DYSON-SCHWINGER
 EQUATIONS
JF  - INTERNATIONAL JOURNAL OF MODERN PHYSICS A
N2  - 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.
KW  - Dyson-Schwinger equations
KW  - Hopf algebra of Feynman diagrams
KW  - counterterms
KW  - Picard-Fuchs equations
KW  - equi-singular connections
Y1  - 2013
U6  - https://doi.org/10.1142/S0217751X13501704
SN  - 0217-751X
SN  - 1793-656X
VL  - 28
IS  - 32
PB  - WORLD SCIENTIFIC PUBL CO PTE LTD
CY  - SINGAPORE
ER  -