Processing math: 100%
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
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, 1978, Volume 37, Number 1, Pages 66–73 (Mi tmf3098)  

This article is cited in 27 scientific papers (total in 27 papers)

Four-loop approximation in the φ4 model

F. M. Dittes, Yu. A. Kubyshin, O. V. Tarasov
References:
Abstract: The results are given of calculations of the Gelt-Mann–Low function in the four-loop approximation in the massless model with quartic interaction. The coefficients in the expansion of the Gell-Mann–Low function calculated in the framework of perturbation theory are compared with the coefficients calculated in accordance with the asymptotic formula.
Received: 07.12.1977
English version:
Theoretical and Mathematical Physics, 1978, Volume 37, Issue 1, Pages 879–884
DOI: https://doi.org/10.1007/BF01036288
Bibliographic databases:
Language: Russian
Citation: F. M. Dittes, Yu. A. Kubyshin, O. V. Tarasov, “Four-loop approximation in the φ4 model”, TMF, 37:1 (1978), 66–73; Theoret. and Math. Phys., 37:1 (1978), 879–884
Citation in format AMSBIB
\Bibitem{DitKubTar78}
\by F.~M.~Dittes, Yu.~A.~Kubyshin, O.~V.~Tarasov
\paper Four-loop approximation in the $\varphi^4$ model
\jour TMF
\yr 1978
\vol 37
\issue 1
\pages 66--73
\mathnet{http://mi.mathnet.ru/tmf3098}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=514137}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 37
\issue 1
\pages 879--884
\crossref{https://doi.org/10.1007/BF01036288}
Linking options:
  • https://www.mathnet.ru/eng/tmf3098
  • https://www.mathnet.ru/eng/tmf/v37/i1/p66
  • This publication is cited in the following 27 articles:
    1. Tom Steudtner, “General scalar renormalisation group equations at three-loop order”, J. High Energ. Phys., 2020:12 (2020)  crossref
    2. J. A. Gracey, “Six-dimensional ultraviolet completion of the ℂℙ(N) σ model at two loops”, Mod. Phys. Lett. A, 35:22 (2020), 2050188  crossref
    3. J. A. Gracey, “Renormalization of scalar field theories in rational spacetime dimensions”, Eur. Phys. J. C, 80:7 (2020)  crossref
    4. McKane A.J., “Perturbation Expansions At Large Order: Results For Scalar Field Theories Revisited”, J. Phys. A-Math. Theor., 52:5 (2019), 055401  crossref  isi  scopus
    5. Gracey J.A., “Large N-F Quantum Field Theory”, Int. J. Mod. Phys. A, 33:35 (2018), 1830032  crossref  mathscinet  zmath  isi  scopus
    6. Kompaniets M.V., Panzer E., “Minimally Subtracted Six-Loop Renormalization of O(N)-Symmetric Phi(4) Theory and Critical Exponents”, Phys. Rev. D, 96:3 (2017), 036016  crossref  isi
    7. 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  crossref  isi
    8. J. A. Gracey, R. M. Simms, “Higher dimensional higher derivative ϕ4 theory”, Phys. Rev. D, 96:2 (2017)  crossref
    9. YUE-LIANG WU, “QUANTUM STRUCTURE OF FIELD THEORY AND STANDARD MODEL BASED ON INFINITY-FREE LOOP REGULARIZATION/RENORMALIZATION”, Int. J. Mod. Phys. A, 29:03n04 (2014), 1430007  crossref
    10. Da Huang, Yue-Liang Wu, “Consistency and advantage of loop regularization method merging with Bjorken–Drell's analogy between Feynman diagrams and electrical circuits”, Eur. Phys. J. C, 72:7 (2012)  crossref
    11. I. M. Suslov, “Renormalization group functions of the φ4 theory in the strong coupling limit: Analytical results”, J. Exp. Theor. Phys., 107:3 (2008), 413  crossref
    12. I. M. Suslov, “Divergent perturbation series”, J. Exp. Theor. Phys., 100:6 (2005), 1188  crossref
    13. Kazakov, DI, “On the summation of divergent perturbation series in quantum mechanics and field theory”, Journal of Experimental and Theoretical Physics, 95:4 (2002), 581  crossref  isi
    14. I. M. Suslov, “Summing divergent perturbative series in a strong coupling limit. The Gell-Mann-Low function of the ϕ4 theory”, J. Exp. Theor. Phys., 93:1 (2001), 1  crossref
    15. I. M. Suslov, “Gell-Mann-Low function in the ϕ4 theory”, Jetp Lett., 71:6 (2000), 217  crossref
    16. Gino N.J. Añaños, N.F. Svaiter, “The tricritical phenomenon in the (λϑ4 + σϑ6)D=3 model”, Physica A: Statistical Mechanics and its Applications, 241:3-4 (1997), 627  crossref
    17. A.L. Kataev, “Next-nexdt-to-leading perturbative QCD corrections; the current status of investigations”, Nuclear Physics B - Proceedings Supplements, 23:2 (1991), 72  crossref
    18. Current Physics–Sources and Comments, 7, Large-Order Behaviour of Perturbation Theory, 1990, 27  crossref
    19. A.L. Kataev, M.D. Vardiashvili, “Scheme dependence of the perturbative series for a physical quantity in the gϕ4-theory”, Physics Letters B, 221:3-4 (1989), 377  crossref
    20. Yu. A. Kubyshin, “Sommerfeld–Watson summation of perturbation series”, Theoret. and Math. Phys., 58:1 (1984), 91–97  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:408
    Full-text PDF :114
    References:78
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025