Geodesic
Three-loop renormalization of~the Wess--Zumino--Witten model
Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 1, pp. 56-64

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The covariant background field method and the 't Hooft–Veltman prescription for dimensional regularization are used to calculate the three-loop $1/\varepsilon$-counterterm in the two-dimensional Wess–Zumino–Witten model. The perturbative result for the three-loop $\beta$-function is found to be in agreement with the non-perturbative one obtained for this model by means of the conformal field theory technique. 
@article{TMF_1989_80_1_a5,
     author = {S. V. Ketov},
     title = {Three-loop renormalization of~the {Wess--Zumino--Witten} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {56--64},
     publisher = {mathdoc},
     volume = {80},
     number = {1},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a5/}
}
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S. V. Ketov. Three-loop renormalization of~the Wess--Zumino--Witten model. Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 1, pp. 56-64. http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a5/