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

J 2020

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

BATALIN, Igor, Klaus BERING LARSEN, Peter LAVROV and Igor TYUTIN

Basic information

Original name

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

Authors

BATALIN, Igor (643 Russian Federation, guarantor), Klaus BERING LARSEN (643 Russian Federation, belonging to the institution), Peter LAVROV (643 Russian Federation) and Igor TYUTIN (643 Russian Federation)

Edition

Theoretical and Mathematical Physics, Springer, 2020, 0040-5779

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10303 Particles and field physics

Country of publisher

Russian Federation

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 0.956

RIV identification code

RIV/00216224:14310/20:00115107

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1134/S0040577920010043

UT WoS

000521153500004

Keywords in English

background-field method; Yang-Mills theory; renormalizability; gauge dependence; BV-formalism;

Abstract

V originále

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).

Citovat

BATALIN, Igor, Klaus BERING LARSEN, Peter LAVROV and Igor TYUTIN. Multiplicative renormalizability of Yang-Mills theory with the background field method in the BV-formalism. Theoretical and Mathematical Physics. Springer, 2020, vol. 202, No 1, p. 30-40. ISSN 0040-5779. Available from: https://dx.doi.org/10.1134/S0040577920010043.

@article{1563100,
   author = {Batalin, Igor and Bering Larsen, Klaus and Lavrov, Peter and Tyutin, Igor},
   article_number = {1},
   doi = {http://dx.doi.org/10.1134/S0040577920010043},
   keywords = {background-field method; Yang-Mills theory; renormalizability; gauge dependence; BV-formalism;},
   language = {eng},
   issn = {0040-5779},
   journal = {Theoretical and Mathematical Physics},
   title = {Multiplicative renormalizability of Yang-Mills theory with the background field method in the BV-formalism},
   url = {https://link.springer.com/article/10.1134%2FS0040577920010043},
   volume = {202},
   year = {2020}
}

TY  - JOUR
ID  - 1563100
AU  - Batalin, Igor - Bering Larsen, Klaus - Lavrov, Peter - Tyutin, Igor
PY  - 2020
TI  - Multiplicative renormalizability of Yang-Mills theory with the background field method in the BV-formalism
JF  - Theoretical and Mathematical Physics
VL  - 202
IS  - 1
SP  - 30-40
EP  - 30-40
PB  - Springer
SN  - 00405779
KW  - background-field method
KW  - Yang-Mills theory
KW  - renormalizability
KW  - gauge dependence
KW  - BV-formalism;
UR  - https://link.springer.com/article/10.1134%2FS0040577920010043
L2  - https://link.springer.com/article/10.1134%2FS0040577920010043
N2  - 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).
ER  -

BATALIN, Igor, Klaus BERING LARSEN, Peter LAVROV and Igor TYUTIN. Multiplicative renormalizability of Yang-Mills theory with the background field method in the BV-formalism. \textit{Theoretical and Mathematical Physics}. Springer, 2020, vol.~202, No~1, p.~30-40. ISSN~0040-5779. Available from: https://dx.doi.org/10.1134/S0040577920010043.

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