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 TMF, 2005, Volume 142, Number 1, Pages 37–57 (Mi tmf1767)

Investigating the anomaly puzzle in $N=1$ supersymmetric electrodynamics

K. V. Stepanyantz

M. V. Lomonosov Moscow State University

Abstract: Using Schwinger–Dyson equations and Ward identities in the $N=1$ supersymmetric electrodynamics regularized by higher derivatives, we find that we can calculate some contributions to the two-point Greens function of the gauge field and to the $\beta$-function exactly in all orders of the perturbation theory. We use the results to investigate the anomaly puzzle in the considered theory.

Keywords: supersymmetry, regularization, higher covariant derivative, anomaly puzzle

DOI: https://doi.org/10.4213/tmf1767

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English version:
Theoretical and Mathematical Physics, 2005, 142:1, 29–47

Bibliographic databases:

Citation: K. V. Stepanyantz, “Investigating the anomaly puzzle in $N=1$ supersymmetric electrodynamics”, TMF, 142:1 (2005), 37–57; Theoret. and Math. Phys., 142:1 (2005), 29–47

Citation in format AMSBIB
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• https://doi.org/10.4213/tmf1767
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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. A. B. Pimenov, K. V. Stepanyantz, “Four-loop verification of an algorithm for summing Feynman diagrams in the $N{=}1$ supersymmetric electrodynamics”, Theoret. and Math. Phys., 147:2 (2006), 687–697
2. K. V. Stepanyantz, “Summation of diagrams in $N=1$ supersymmetric electrodynamics regularized by higher derivatives”, Theoret. and Math. Phys., 146:3 (2006), 321–334
3. K. V. Stepanyantz, “Contribution of matter fields to the Gell-Mann–Low function for the $N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives”, Theoret. and Math. Phys., 150:3 (2007), 377–392
4. 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
5. 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
6. Soloshenko AA, Stepan'yants KV, “Schwinger-Dyson Equations for N=1 Supersymmetric Yang-Mills Theory”, Moscow University Physics Bulletin, 63:3 (2008), 189–192
7. Pimenov, AB, “Regularization by Higher Derivatives and Quantum Correction for N=1 Supersymmetric Theories”, Russian Physics Journal, 51:5 (2008), 444
8. Stepanyantz, KV, “Toward proving a new identity for Green's functions in N=1 supersymmetric electrodynamics”, Physics of Atomic Nuclei, 72:1 (2009), 105
9. Shevtsova, ES, “Structure of the two-point green function of the gauge field for N=1 supersymmetric Yang-Mills theory regularized by higher covariant derivatives”, Moscow University Physics Bulletin, 64:5 (2009), 485
10. Stepanyantz, KV, “A new relation restricting the Green functions of N=1 supersymmetric electrodynamics”, Moscow University Physics Bulletin, 64:3 (2009), 250
11. K. V. Stepanyantz, “Higher covariant derivative regularization for calculations in supersymmetric theories”, Proc. Steklov Inst. Math., 272 (2011), 256–265
12. Stepanyantz K.V., “Derivation of the exact NSVZ beta-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams”, Nuclear Phys B, 852:1 (2011), 71–107
13. Stepanyantz K.V., “Factorization of Integrals Defining the beta-Function into Integrals of Total Derivatives in N=1 SQED, Regularized by Higher Derivatives”, Internat J Theoret Phys, 51:1 (2012), 276–291
14. Stepanyantz K.V., “Multiloop Calculations in Supersymmetric Theories with the Higher Covariant Derivative Regularization”, 14th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (Acat 2011), Journal of Physics Conference Series, 368, ed. Teodorescu L., IOP Publishing Ltd, 2012, 012052
15. Stepanyantz K.V., “Derivation of the Exact Nsvz Beta-Function in N=1 Sqed Regularized by Higher Derivatives by Summation of Feynman Diagrams”, 7th International Conference on Quantum Theory and Symmetries (Qts7), Journal of Physics Conference Series, 343, IOP Publishing Ltd, 2012, 012115
16. Stepanyantz K.V., “The Nsvz Beta-Function and the Schwinger-Dyson Equations For N=1 Sqed With N-F Flavors, Regularized By Higher Derivatives”, J. High Energy Phys., 2014, no. 8, 096
17. Cherchiglia A.L., Sampaio M., Hiller B., Baeta Scarpelli A.P., “Subtleties in the Beta-Function Calculation of N=1 Supersymmetric Gauge Theories”, Eur. Phys. J. C, 76:2 (2016), 47
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