Geodesic
Multiplicative renormalizability of Yang--Mills theory with the~background field method in the~BV formalism
Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 1, pp. 34-46

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Studying the gauge-invariant renormalizability of four-dimensional Yang–Mills theory using the background field method and the BV formalism, we derive a classical master equation homogeneous with respect to the antibracket by introducing antifield partners to the background fields and parameters. The constructed model can be renormalized by the standard method of introducing counterterms. This model does not have (exact) multiplicative renormalizability but it does have this property in the physical sector (quasimultiplicative renormalizability).
Keywords: background field method, Yang–Mills theory, renormalizability, gauge dependence
Mots-clés : BV formalism. 
@article{TMF_2020_202_1_a3,
     author = {I. A. Batalin and K. Bering and P. M. Lavrov and I. V. Tyutin},
     title = {Multiplicative renormalizability of {Yang--Mills} theory with the~background field method in {the~BV} formalism},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {34--46},
     publisher = {mathdoc},
     volume = {202},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_202_1_a3/}
}
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I. A. Batalin; K. Bering; P. M. Lavrov; I. V. Tyutin. Multiplicative renormalizability of Yang--Mills theory with the~background field method in the~BV formalism. Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 1, pp. 34-46. http://geodesic.mathdoc.fr/item/TMF_2020_202_1_a3/