Publication details

Multiplicative renormalizability of Yang-Mills theory with the background field method in the BV-formalism

Authors

BATALIN Igor BERING LARSEN Klaus LAVROV Peter TYUTIN Igor

Year of publication 2020
Type Article in Periodical
Magazine / Source Theoretical and Mathematical Physics
MU Faculty or unit

Faculty of Science

Citation
Web https://link.springer.com/article/10.1134%2FS0040577920010043
Doi http://dx.doi.org/10.1134/S0040577920010043
Keywords background-field method; Yang-Mills theory; renormalizability; gauge dependence; BV-formalism;
Description 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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