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”, TMF, 155:3 (2008), 398–414; Theoret. and Math. Phys., 155:3 (2008), 848

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, 2008, Volume 155, Number 3, Pages 398–414
DOI: https://doi.org/10.4213/tmf6219 (Mi tmf6219)

This article is cited in 4 scientific papers (total in 4 papers)

Two-loop Gell-Mann–Low function of the

N = 1

$N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives

A. B. Pimenov, K. V. Stepanyantz

M. V. Lomonosov Moscow State University

Full-text PDF (528 kB) Citations (4)

References:

PDF

HTML

DOI: https://doi.org/10.4213/tmf6219

Abstract: We calculate the two-loop Gell-Mann–Low function for the

N = 1

$N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives. We show that the integrals determining this function reduce to total derivatives and can be easily calculated analytically.

Keywords: supersymmetry, higher covariant derivative, Feynman diagram, Schwinger–Dyson equation, Slavnov–Taylor identity.

Received: 27.03.2007
Revised: 17.05.2007

English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 3, Pages 848–861
DOI: https://doi.org/10.1007/s11232-008-0072-1

Bibliographic databases:

Language: Russian

Citation: A. B. Pimenov, K. V. Stepanyantz, “Two-loop Gell-Mann–Low function of the

N = 1

$N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives”, TMF, 155:3 (2008), 398–414; Theoret. and Math. Phys., 155:3 (2008), 848–861

Citation in format AMSBIB

\Bibitem{PimSte08}

\by A.~B.~Pimenov, K.~V.~Stepanyantz

\paper Two-loop Gell-Mann--Low function of the~$N=1$ supersymmetric

Yang--Mills theory regularized by higher covariant derivatives

\jour TMF

\yr 2008

\vol 155

\issue 3

\pages 398--414

\mathnet{http://mi.mathnet.ru/tmf6219}

\crossref{https://doi.org/10.4213/tmf6219}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2516416}

\zmath{https://zbmath.org/?q=an:1145.81389}

\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2008TMP...155..848P}

\transl

\jour Theoret. and Math. Phys.

\yr 2008

\vol 155

\issue 3

\pages 848--861

\crossref{https://doi.org/10.1007/s11232-008-0072-1}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000257145800002}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-46249114089}

Linking options:

https://www.mathnet.ru/eng/tmf6219

https://doi.org/10.4213/tmf6219

https://www.mathnet.ru/eng/tmf/v155/i3/p398

This publication is cited in the following 4 articles:

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
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
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

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

Statistics & downloads:
Abstract page:	515
Full-text PDF :	223
References:	118
First page:	1

Registration to the website

Logotypes