Geodesic
About dimensional regularization in the Yang--Mills theory
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 24, Tome 465 (2017), pp. 147-156

Voir la notice de l'article provenant de la source Math-Net.Ru

In the work the asymptotic approach is proposed for the renormalization in the case of dimensional regularization. As an example, the quantum Yang–Mills theory in the four-dimensional space-time is considered. The formula for the renormalized effective action is derived by using the asymptotic behavior of the bare coupling constant. Then the dimensional transmutation, the process of renormalization and the properties of the coupling constant are discussed. 
@article{ZNSL_2017_465_a8,
     author = {A. V. Ivanov},
     title = {About dimensional regularization in the {Yang--Mills} theory},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {147--156},
     publisher = {mathdoc},
     volume = {465},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_465_a8/}
}
TY  - JOUR
AU  - A. V. Ivanov
TI  - About dimensional regularization in the Yang--Mills theory
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2017
SP  - 147
EP  - 156
VL  - 465
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2017_465_a8/
LA  - ru
ID  - ZNSL_2017_465_a8
ER  - 
%0 Journal Article
%A A. V. Ivanov
%T About dimensional regularization in the Yang--Mills theory
%J Zapiski Nauchnykh Seminarov POMI
%D 2017
%P 147-156
%V 465
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2017_465_a8/
%G ru
%F ZNSL_2017_465_a8
A. V. Ivanov. About dimensional regularization in the Yang--Mills theory. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 24, Tome 465 (2017), pp. 147-156. http://geodesic.mathdoc.fr/item/ZNSL_2017_465_a8/