Abstract:
The generating functional for the S matrix in Yang–Mills theory
is considered in the background field formalism. It is shown by
explicit calculations using the proper time method that in the
two-loop approximation all ultraviolet divergences can be
eliminated by a single renormalization, which is a renormalization
of the charge.
Citation:
S. L. Shatashvili, “Two-loop approximation in the background field formalism”, TMF, 58:2 (1984), 219–228; Theoret. and Math. Phys., 58:2 (1984), 144–150
\Bibitem{Sha84}
\by S.~L.~Shatashvili
\paper Two-loop approximation in the background field formalism
\jour TMF
\yr 1984
\vol 58
\issue 2
\pages 219--228
\mathnet{http://mi.mathnet.ru/tmf4329}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 58
\issue 2
\pages 144--150
\crossref{https://doi.org/10.1007/BF01017919}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984TG27600007}
Linking options:
https://www.mathnet.ru/eng/tmf4329
https://www.mathnet.ru/eng/tmf/v58/i2/p219
This publication is cited in the following 5 articles:
A. V. Ivanov, N. V. Kharuk, “Three-Loop Divergences in Effective Action of 4-Dimensional Yang–Mills Theory with Cutoff Regularization: Γ24-Contribution”, J Math Sci, 2024
A. V. Ivanov, N. V. Kharuk, “Trekhpetlevye raskhodimosti v effektivnom deistvii 4-kh mernoi teorii Yanga–Millsa s regulyarizatsiei obrezaniem: Γ24-vklad”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 29, Zap. nauchn. sem. POMI, 520, POMI, SPb., 2023, 162–188
P. V. Akacevich, A. V. Ivanov, “On two-loop effective action of 2d sigma model”, Eur. Phys. J. C, 83:7 (2023)
A. V. Ivanov, N. V. Kharuk, “Formula for two-loop divergent part of 4-D Yang–Mills effective action”, Eur. Phys. J. C, 82:11 (2022)
Ivanov V A. Kharuk V N., “Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action”, J. Phys. G-Nucl. Part. Phys., 48:1 (2020), 015002
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