Geodesic
Two-loop calculations of the~matrix $\sigma$-model effective action in
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 354-362

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

We consider the matrix $\sigma$-model in the background field formalism. In the two-loop approximation, we demonstrate the equality of “running coupling constants” in the momentum cutoff regularization and in the dimensional regularization by direct calculation. We verify that the $\beta$-function coincides with the previously obtained data.
Keywords: background field, principal chiral field, renormalization, running coupling constant. 
@article{TMF_2008_154_2_a11,
     author = {A. A. Bagaev},
     title = {Two-loop calculations of the~matrix $\sigma$-model effective action in},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {354--362},
     publisher = {mathdoc},
     volume = {154},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a11/}
}
TY  - JOUR
AU  - A. A. Bagaev
TI  - Two-loop calculations of the~matrix $\sigma$-model effective action in
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2008
SP  - 354
EP  - 362
VL  - 154
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a11/
LA  - ru
ID  - TMF_2008_154_2_a11
ER  - 
%0 Journal Article
%A A. A. Bagaev
%T Two-loop calculations of the~matrix $\sigma$-model effective action in
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2008
%P 354-362
%V 154
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a11/
%G ru
%F TMF_2008_154_2_a11
A. A. Bagaev. Two-loop calculations of the~matrix $\sigma$-model effective action in. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 354-362. http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a11/