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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 50, Number 2, Pages 195–206 (Mi tmf2102)  

This article is cited in 126 scientific papers (total in 126 papers)

1/n1/n expansion: clculation of the exponent ηη in the order 1/n31/n3 by the conformal bootstrap method

A. N. Vasil'ev, Yu. M. Pis'mak, Yu. R. Khonkonen

Leningrad State University
References:
Abstract: For arbitrary causal functions satisfying the spectral condition Tauberian theorems are established which give a correspondence between their self-similar asymptotic behavior and their asymptotic behavior in the neighborhood of the light cone.
Received: 23.01.1981
English version:
Theoretical and Mathematical Physics, 1982, Volume 50, Issue 2, Pages 127–134
DOI: https://doi.org/10.1007/BF01015292
Bibliographic databases:
Language: Russian
Citation: A. N. Vasil'ev, Yu. M. Pis'mak, Yu. R. Khonkonen, “1/n1/n expansion: clculation of the exponent ηη in the order 1/n31/n3 by the conformal bootstrap method”, TMF, 50:2 (1982), 195–206; Theoret. and Math. Phys., 50:2 (1982), 127–134
Citation in format AMSBIB
\Bibitem{VasPisKho82}
\by A.~N.~Vasil'ev, Yu.~M.~Pis'mak, Yu.~R.~Khonkonen
\paper $1/n$ expansion: clculation of the exponent $\eta$ in the order $1/n^3$ by the conformal bootstrap method
\jour TMF
\yr 1982
\vol 50
\issue 2
\pages 195--206
\mathnet{http://mi.mathnet.ru/tmf2102}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 50
\issue 2
\pages 127--134
\crossref{https://doi.org/10.1007/BF01015292}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982PH72200002}
Linking options:
  • https://www.mathnet.ru/eng/tmf2102
  • https://www.mathnet.ru/eng/tmf/v50/i2/p195
  • This publication is cited in the following 126 articles:
    1. Marten Reehorst, Slava Rychkov, Benoit Sirois, Balt van Rees, “Bootstrapping frustrated magnets: the fate of the chiral ${\rm O}(N)\times {\rm O}(2)$ universality class”, SciPost Phys., 18:2 (2025)  crossref
    2. Christian Jepsen, Yaron Oz, “RG flows and fixed points of O(N)r models”, J. High Energ. Phys., 2024:2 (2024)  crossref
    3. A. L. Pismenskii, Yu. M. Pis'mak, “Scaling violation and the appearance of mass in scalar quantum field theories”, Theoret. and Math. Phys., 217:1 (2023), 1495–1504  mathnet  crossref  crossref  mathscinet  adsnasa
    4. S. E. Derkachev, A. I. Isaev, L. A. Shumilov, “Zig-Zag Diagrams and Conformal Triangles”, Phys. Part. Nuclei Lett., 20:3 (2023), 240  crossref
    5. Johan Henriksson, “The critical O(N) CFT: Methods and conformal data”, Physics Reports, 1002 (2023), 1  crossref
    6. S. E. Derkachov, A. P. Isaev, L. A. Shumilov, “Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles”, J. High Energ. Phys., 2023:6 (2023)  crossref
    7. Simon Caron-Huot, Yan Gobeil, Zahra Zahraee, “The leading trajectory in the 2+1D Ising CFT”, J. High Energ. Phys., 2023:2 (2023)  crossref
    8. Martin Hasenbusch, “Three-dimensional O(N) -invariant ϕ4 models at criticality for N≥4”, Phys. Rev. B, 105:5 (2022)  crossref
    9. I. Jack, D. R. T. Jones, “Scaling dimensions at large charge for cubic ϕ3 theory in six dimensions”, Phys. Rev. D, 105:4 (2022)  crossref
    10. Alexander Bednyakov, Andrey Pikelner, “Six-loop anomalous dimension of the ϕQ operator in the O(N) symmetric model”, Phys. Rev. D, 106:7 (2022)  crossref
    11. S. Derkachov, A.P. Isaev, L. Shumilov, “Conformal triangles and zig-zag diagrams”, Physics Letters B, 830 (2022), 137150  crossref
    12. J. A. Gracey, “Five loop renormalization of the Wess-Zumino model”, Phys. Rev. D, 105:2 (2022)  crossref
    13. John A. Gracey, “Generalized Gross–Neveu Universality Class with Non-Abelian Symmetry”, SIGMA, 17 (2021), 064, 20 pp.  mathnet  crossref
    14. Kompaniets M. Pikelner A., “Critical Exponents From Five-Loop Scalar Theory Renormalization Near Six-Dimensions”, Phys. Lett. B, 817 (2021), 136331  crossref  isi
    15. Sergey Derkachov, Enrico Olivucci, “Conformal quantum mechanics & the integrable spinning Fishnet”, J. High Energ. Phys., 2021:11 (2021)  crossref
    16. J. A. Gracey, “Critical exponent η at O(1/N3) in the chiral XY model using the large N conformal bootstrap”, Phys. Rev. D, 103:6 (2021)  crossref
    17. Oleg Antipin, Jahmall Bersini, Francesco Sannino, Zhi-Wei Wang, Chen Zhang, “More on the cubic versus quartic interaction equivalence in the O(N) model”, Phys. Rev. D, 104:8 (2021)  crossref
    18. Mikhail Goykhman, Ritam Sinha, “CFT data in the Gross-Neveu model”, Phys. Rev. D, 103:12 (2021)  crossref
    19. Sergey Derkachov, Gwenaël Ferrando, Enrico Olivucci, “Mirror channel eigenvectors of the d-dimensional fishnets”, J. High Energ. Phys., 2021:12 (2021)  crossref
    20. Johan Henriksson, Andreas Stergiou, “Perturbative and nonperturbative studies of CFTs with MN global symmetry”, SciPost Phys., 11:1 (2021)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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