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

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BATALIN Igor BERING LARSEN Klaus LAVROV Peter TYUTIN Igor

Rok publikování 2020
Druh Článek v odborném periodiku
Časopis / Zdroj Theoretical and Mathematical Physics
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://link.springer.com/article/10.1134%2FS0040577920010043
Doi http://dx.doi.org/10.1134/S0040577920010043
Klíčová slova background-field method; Yang-Mills theory; renormalizability; gauge dependence; BV-formalism;
Popis 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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