K. V. Stepanyantz, “Summation of diagrams in $N=1$ supersymmetric electrodynamics regularized by higher derivatives”, TMF, 146:3 (2006), 385–401; Theoret. and Math. Phys., 146:3 (2006), 321

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

TMF:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 146, Number 3, Pages 385–401
DOI: https://doi.org/10.4213/tmf2042 (Mi tmf2042)

This article is cited in 15 scientific papers (total in 15 papers)

Summation of diagrams in

$N=1$ supersymmetric electrodynamics regularized by higher derivatives

K. V. Stepanyantz

M. V. Lomonosov Moscow State University, Faculty of Physics

Full-text PDF (356 kB) Citations (15)

References:

PDF

HTML

DOI: https://doi.org/10.4213/tmf2042

Abstract: For the massless

$N=1$ supersymmetric electrodynamics regularized by higher derivatives, we partially sum the Feynman diagrams that define the divergent part of the two-point Green's function and cannot be found from Schwinger–Dyson equations and Ward identities. The result can be written as a special identity for Green's functions.

Keywords: supersymmetry, higher covariant derivatives, Feynman diagrams, Schwinger–Dyson equations, Ward identities.

Received: 18.04.2005
Revised: 27.09.2005

English version:
Theoretical and Mathematical Physics, 2006, Volume 146, Issue 3, Pages 321–334
DOI: https://doi.org/10.1007/s11232-006-0042-4

Bibliographic databases:

Language: Russian

Citation: K. V. Stepanyantz, “Summation of diagrams in

$N=1$ supersymmetric electrodynamics regularized by higher derivatives”, TMF, 146:3 (2006), 385–401; Theoret. and Math. Phys., 146:3 (2006), 321–334

Citation in format AMSBIB

\Bibitem{Ste06}

\by K.~V.~Stepanyantz

\paper Summation of diagrams in $N=1$ supersymmetric electrodynamics regularized by higher derivatives

\jour TMF

\yr 2006

\vol 146

\issue 3

\pages 385--401

\mathnet{http://mi.mathnet.ru/tmf2042}

\crossref{https://doi.org/10.4213/tmf2042}

\zmath{https://zbmath.org/?q=an:1177.81127}

\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2006TMP...146..321S}

\elib{https://elibrary.ru/item.asp?id=9200318}

\transl

\jour Theoret. and Math. Phys.

\yr 2006

\vol 146

\issue 3

\pages 321--334

\crossref{https://doi.org/10.1007/s11232-006-0042-4}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000236533100003}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33644917713}

Linking options:

https://www.mathnet.ru/eng/tmf2042

https://doi.org/10.4213/tmf2042

https://www.mathnet.ru/eng/tmf/v146/i3/p385

This publication is cited in the following 15 articles:

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
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
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
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
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
Gama F.S., Gomes M., Nascimento J.R., Petrov A.Yu., da Silva A.J., “Higher-derivative supersymmetric gauge theory”, Phys Rev D, 84:4 (2011), 045001
Stepanyantz, KV, “Toward proving a new identity for Green's functions in N=1 supersymmetric electrodynamics”, Physics of Atomic Nuclei, 72:1 (2009), 105
Stepanyantz, KV, “A new relation restricting the Green functions of N=1 supersymmetric electrodynamics”, Moscow University Physics Bulletin, 64:3 (2009), 250
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 AB, Soloshenko AA, Stepanyantz KV, et al, “Regularization by higher derivatives and quantum corrections in $N=1$ supersymmetric theories”, Russian Physics Journal, 51:5 (2008), 444–479
Soloshenko AA, Stepan'yants KV, “Schwinger-Dyson Equations for N=1 Supersymmetric Yang-Mills Theory”, Moscow University Physics Bulletin, 63:3 (2008), 189–192
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
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

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

Statistics & downloads:
Abstract page:	496
Full-text PDF :	229
References:	75
First page:	2

Что такое QR-код?

Registration to the website

Logotypes