Geodesic
Two-loop calculations of the matrix $\sigma$-model effective action in
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 354-362 Cet article a éte moissonné depuis la source Math-Net.Ru

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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},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a11/}
}
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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/

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