Geodesic
Two-loop approximation in the background field formalism
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 219-228

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The generating functional for the $S$ matrix in Yang–Mills theory is considered in the background field formalism. It is shown by explicit calculations using the proper time method that in the two-loop approximation all ultraviolet divergences can be eliminated by a single renormalization, which is a renormalization of the charge. 
@article{TMF_1984_58_2_a6,
     author = {S. L. Shatashvili},
     title = {Two-loop approximation in the background field formalism},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {219--228},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a6/}
}
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S. L. Shatashvili. Two-loop approximation in the background field formalism. Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 219-228. http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a6/