Abstract
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).
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Conflicts of interest. The authors declare no conflicts of interest.
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The research of I. A. Batalin and I. V. Tyutin is supported in part by the Russian Foundation for Basic Research (Grant No. 17-02-00317).
The research of P. M. Lavrov is supported in part by the Ministry of Science and Higher Education of the Russian Federation (Grant No. 3.1386.2017) and the Russian Foundation for Basic Research (Grant No. 18-02-00153).
Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 202, No. 1, pp. 34–46, January, 2020.
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Batalin, I.A., Bering, K., Lavrov, P.M. et al. Multiplicative Renormalizability of Yang-Mills Theory with the Background Field Method in the BV Formalism. Theor Math Phys 202, 30–40 (2020). https://doi.org/10.1134/S0040577920010043
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DOI: https://doi.org/10.1134/S0040577920010043