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 TMF, 2002, Volume 130, Number 1, Pages 3–14 (Mi tmf287)

Regularization-Independent Gauge-Invariant Renormalization of the Yang–Mills Theory

A. A. Slavnov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: A recently proposed renormalization scheme is applied to non-Abelian gauge fields. Explicitly obtained gauge-invariant expressions for the renormalized vertex functions are independent of the choice of the intermediate regularization scheme.

DOI: https://doi.org/10.4213/tmf287

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English version:
Theoretical and Mathematical Physics, 2002, 130:1, 1–10

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Citation: A. A. Slavnov, “Regularization-Independent Gauge-Invariant Renormalization of the Yang–Mills Theory”, TMF, 130:1 (2002), 3–14; Theoret. and Math. Phys., 130:1 (2002), 1–10

Citation in format AMSBIB
\Bibitem{Sla02} \by A.~A.~Slavnov \paper Regularization-Independent Gauge-Invariant Renormalization of the Yang--Mills Theory \jour TMF \yr 2002 \vol 130 \issue 1 \pages 3--14 \mathnet{http://mi.mathnet.ru/tmf287} \crossref{https://doi.org/10.4213/tmf287} \zmath{https://zbmath.org/?q=an:1044.81098} \transl \jour Theoret. and Math. Phys. \yr 2002 \vol 130 \issue 1 \pages 1--10 \crossref{https://doi.org/10.1023/A:1013828529525} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000173912900001} 

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Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. A. A. Slavnov, K. V. Stepanyantz, “Universal Invariant Renormalization for Supersymmetric Theories”, Theoret. and Math. Phys., 135:2 (2003), 673–684
2. Slavnov, AA, “Symmetries and renormalization”, Physics of Particles and Nuclei, 34 (2003), S1
3. Slavnov, AA, “Progress in study of renormalization of theories with nontrivial internal symmetry”, Annales Henri Poincare, 4 (2003), S247
4. Kreimer, D, “New mathematical structures in renormalizable quantum field theories”, Annals of Physics, 303:1 (2003), 179
5. A. A. Slavnov, K. V. Stepanyantz, “Universal Invariant Renormalization for the Supersymmetric Yang–Mills Theory”, Theoret. and Math. Phys., 139:2 (2004), 599–608
6. K. V. Stepanyantz, “Anomaly Problem in the $N=1$ Supersymmetric Electrodynamics as a Consequence of the Inconsistency of the Dimensional Reduction Method”, Theoret. and Math. Phys., 140:1 (2004), 939–957
7. A. A. Soloshenko, K. V. Stepanyantz, “Three-Loop $\beta$-Function of $N=1$ Supersymmetric Electrodynamics Regularized by Higher Derivatives”, Theoret. and Math. Phys., 140:3 (2004), 1264–1282
8. K. V. Stepanyantz, “Investigating the anomaly puzzle in $N=1$ supersymmetric electrodynamics”, Theoret. and Math. Phys., 142:1 (2005), 29–47
9. K. V. Stepanyantz, “Summation of diagrams in $N=1$ supersymmetric electrodynamics regularized by higher derivatives”, Theoret. and Math. Phys., 146:3 (2006), 321–334
10. A. A. Bagaev, “Two-loop calculations of the matrix $\sigma$-model effective action in the background field formalism”, Theoret. and Math. Phys., 154:2 (2008), 303–310
11. A. B. Pimenov, K. V. Stepanyantz, “Two-loop Gell-Mann–Low function of the $N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives”, Theoret. and Math. Phys., 155:3 (2008), 848–861
12. A. B. Pimenov, K. V. Stepanyantz, “Verifying a new identity for Green's functions of the $N=1$ supersymmetric non-Abelian Yang–Mills theory with matter fields”, Theoret. and Math. Phys., 156:2 (2008), 1199–1208
13. Pimenov, AB, “REGULARIZATION BY HIGHER DERIVATIVES AND QUANTUM CORRECTION FOR N=1 SUPERSYMMETRIC THEORIES”, Russian Physics Journal, 51:5 (2008), 444
14. Stepanyantz, KV, “Toward proving a new identity for Green's functions in N=1 supersymmetric electrodynamics”, Physics of Atomic Nuclei, 72:1 (2009), 105
15. Stepanyantz K., “Application of Higher Derivative Regularization To Calculation of Quantum Corrections in N=1 Supersymmetric Theories”, Particle Physics on the Eve of Lhc, 2009, 390–393
16. Pimenov A.B., Shevtsova E.S., Stepanyantz K.V., “Calculation of two-loop beta-function for general N=1 supersymmetric Yang-Mills theory with the higher covariant derivative regularization”, Physics Letters B, 686:4–5 (2010), 293–297
17. K. V. Stepanyantz, “Higher covariant derivative regularization for calculations in supersymmetric theories”, Proc. Steklov Inst. Math., 272 (2011), 256–265
18. Buchbinder I.L. Stepanyantz K.V., “The Higher Derivative Regularization and Quantum Corrections in N=2 Supersymmetric Theories”, Nucl. Phys. B, 883 (2014), 20–44
19. Stepanyantz K.V., Nucl. Phys. B, 909 (2016), 316–335
20. Aleshin S.S. Kazantsev A.E. Skoptsov M.B. Stepanyantz K.V., “One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization”, J. High Energy Phys., 2016, no. 5, 014
21. Shakhmanov V.Yu. Stepanyantz K.V., “New Form of the Nsvz Relation At the Two-Loop Level”, Phys. Lett. B, 776 (2018), 417–423
22. Kataev A.L. Kazantsev A.E. Stepanyantz K.V., “The Adler D-Function For N=1 SQCD Regularized By Higher Covariant Derivatives in the Three-Loop Approximation”, Nucl. Phys. B, 926 (2018), 295–320
23. Buchbinder I. Ivanov E. Merzlikin B. Stepanyantz K., “Harmonic Superspace Approach to the Effective Action in Six-Dimensional Supersymmetric Gauge Theories”, Symmetry-Basel, 11:1 (2019), 68
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