S. È. Derkachev, A. N. Manashov, “Critical dimensions of composite operators in the nonlinear $\sigma$-model”, TMF, 116:3 (1998), 379–400; Theoret. and Math. Phys., 116:3 (1998), 1034

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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 3, Pages 379–400
DOI: https://doi.org/10.4213/tmf911 (Mi tmf911)

This article is cited in 10 scientific papers (total in 10 papers)

Critical dimensions of composite operators in the nonlinear

$\sigma$ -model

S. È. Derkachev^a, A. N. Manashov^b

^a State Technological Institute of St. Petersburg
^b Saint-Petersburg State University

Full-text PDF (322 kB) Citations (10)

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DOI: https://doi.org/10.4213/tmf911

Abstract: A general scheme for calculating critical exponents of an arbitrary system of composite operators mixed by a renormalization procedure is presented using

$1/N$ expansion. Restrictions imposed on the mixing matrix by the conformal invariance are investigated. The anomalous dimensions of all powerlike products of an auxiliary field are calculated up to the second order in

$1/N$ .

Received: 18.03.1998

English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 3, Pages 1034–1049
DOI: https://doi.org/10.1007/BF02557145

Bibliographic databases:

Language: Russian

Citation: S. È. Derkachev, A. N. Manashov, “Critical dimensions of composite operators in the nonlinear

$\sigma$ -model”, TMF, 116:3 (1998), 379–400; Theoret. and Math. Phys., 116:3 (1998), 1034–1049

Citation in format AMSBIB

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\by S.~\`E.~Derkachev, A.~N.~Manashov

\paper Critical dimensions of composite operators in the nonlinear $\sigma$-model

\jour TMF

\yr 1998

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\issue 3

\pages 379--400

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\crossref{https://doi.org/10.4213/tmf911}

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\transl

\jour Theoret. and Math. Phys.

\yr 1998

\vol 116

\issue 3

\pages 1034--1049

\crossref{https://doi.org/10.1007/BF02557145}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000078007000006}

Linking options:

https://www.mathnet.ru/eng/tmf911

https://doi.org/10.4213/tmf911

https://www.mathnet.ru/eng/tmf/v116/i3/p379

This publication is cited in the following 10 articles:

Johan Henriksson, “The critical O(N) CFT: Methods and conformal data”, Physics Reports, 1002 (2023), 1
Johan Henriksson, Stefanos R. Kousvos, Marten Reehorst, “Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite ε”, J. High Energ. Phys., 2023:2 (2023)
Noam Chai, Mikhail Goykhman, Ritam Sinha, “Conformal correlators in the critical O(N) vector model”, Phys. Rev. D, 105:8 (2022)
Chai N., Goykhman M., Sinha R., “Long-Range Vector Models At Large N”, J. High Energy Phys., 2021, no. 9, 194
Manashov A.N., Strohmaier M., “Correction Exponents in the Gross-Neveu-Yukawa Model At 1/N-2”, Eur. Phys. J. C, 78:6 (2018), 454
Manashov A.N., Skvortsov E.D., “Higher-spin currents in the Gross-Neveu model at 1/n2”, J. High Energy Phys., 2017, no. 1, 132
Manashov A.N., Skvortsov E.D., Strohmaier M., “Higher Spin Currents in the Critical O(N) Vector Model At 1/N-2”, J. High Energy Phys., 2017, no. 8, 106
Korchemsky G.P., “On level crossing in conformal field theories”, J. High Energy Phys., 2016, no. 3, 212
Ciuchini, M, “Computation of quark mass anomalous dimension at O(1/N-f(2)) in quantum chromodynamics”, Nuclear Physics B, 579:1–2 (2000), 56
Ciuchini, M, “Quark mass anomalous dimension at O(1/N-f(2)) in QCD”, Physics Letters B, 458:1 (1999), 117

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

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