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

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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:

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DOI: https://doi.org/10.4213/tmf5989

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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Linking options:

https://www.mathnet.ru/eng/tmf5989

https://doi.org/10.4213/tmf5989

https://www.mathnet.ru/eng/tmf/v150/i3/p441

This publication is cited in the following 8 articles:

Stepanyantz K.V., “Toward proving a new identity for Green's functions in $N=1$ supersymmetric electrodynamics”, Physics of Atomic Nuclei, 72:1 (2009), 105–115
Shevtsova E.S., Stepan'yats K.V., “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), 485–487
Stepanyantz K.V., Shevtsova E.S., “A new relation restricting the Green functions of $N=1$ supersymmetric electrodynamics”, Moscow University Physics Bulletin, 64:3 (2009), 250–254
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
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
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
Pimenov A.B., Soloshenko A.A., Stepan'yants K.V., Shevtsova E.S., “Regularization by higher derivatives and quantum corrections in $N=1$ supersymmetric theories”, Russian Phys. J., 51:5 (2008), 444–479
Soloshenko A.A., Stepan'yants K.V., “Schwinger-Dyson equations for $N=1$ supersymmetric Yang-Mills theory”, Moscow University Physics Bulletin, 63:3 (2008), 189–192

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	486
Full-text PDF :	202
References:	95
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