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This article is cited in 1 scientific paper (total in 1 paper)
Multiplicative renormalizability of Yang–Mills theory with the background field method in the BV formalism
I. A. Batalinab, K. Beringc, P. M. Lavrovbd, I. V. Tyutinab a Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russia
b Tomsk State Pedagogical University, Tomsk, Russia
c Masaryk University, Brno, Czech Republic
d Tomsk State University, Tomsk, Russia
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).
Keywords:
background field method, Yang–Mills theory, renormalizability, gauge dependence, BV formalism.
Received: 06.09.2019 Revised: 06.09.2019
Citation:
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”, TMF, 202:1 (2020), 34–46; Theoret. and Math. Phys., 202:1 (2020), 30–40
Linking options:
https://www.mathnet.ru/eng/tmf9817https://doi.org/10.4213/tmf9817 https://www.mathnet.ru/eng/tmf/v202/i1/p34
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Abstract page: | 278 | Full-text PDF : | 49 | References: | 25 | First page: | 6 |
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