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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 3, Pages 441–460
DOI: https://doi.org/10.4213/tmf5989
(Mi tmf5989)
 

This article is cited in 8 scientific papers (total in 8 papers)

Contribution of matter fields to the Gell-Mann–Low function for the $N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives

K. V. Stepanyantz

M. V. Lomonosov Moscow State University
Full-text PDF (506 kB) Citations (8)
References:
Abstract: We use the Schwinger–Dyson equations and Slavnov–Tailor identities to obtain the contribution of matter fields to the Gell-Mann–Low function for the $N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives. We discuss the possible deviation of the result from the corresponding contribution to the exact Novikov–Shifman–Vainshtein–Zakharov $\beta$-function.
Keywords: supersymmetry, higher covariant derivative, Feynman diagram, Schwinger–Dyson equation, Slavnov–Taylor identity.
Received: 23.05.2006
Revised: 05.07.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 3, Pages 377–392
DOI: https://doi.org/10.1007/s11232-007-0028-x
Bibliographic databases:
Language: Russian
Citation: 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”, TMF, 150:3 (2007), 441–460; Theoret. and Math. Phys., 150:3 (2007), 377–392
Citation in format AMSBIB
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\paper Contribution of matter fields to the~Gell-Mann--Low function for
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\pages 441--460
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  • https://doi.org/10.4213/tmf5989
  • https://www.mathnet.ru/eng/tmf/v150/i3/p441
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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