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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 195, Number 1, Pages 105–116
DOI: https://doi.org/10.4213/tmf9412 (Mi tmf9412) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Representation of renormalization group functions by nonsingular integrals in a model of the critical dynamics of ferromagnets: The fourth order of the $\varepsilon$-expansion

L. Ts. Adzhemyan, S. E. Vorob'eva, E. V. Ivanova, M. V. Kompaniets

St. Petersburg University, St. Petersburg, Russia
Full-text PDF (514 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9412
Abstract: Using the representation for renormalization group functions in terms of nonsingular integrals, we calculate the dynamical critical exponents in the model of critical dynamics of ferromagnets in the fourth order of the $\varepsilon$-expansion. We calculate the Feynman diagrams using the sector decomposition technique generalized to critical dynamics problems.
Keywords: renormalization group, $\varepsilon$-expansion, multiloop diagram, critical parameter.
Received: 06.06.2017
Revised: 21.07.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 195, Issue 1, Pages 584–594
DOI: https://doi.org/10.1134/S0040577918040104
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. Ts. Adzhemyan, S. E. Vorob'eva, E. V. Ivanova, M. V. Kompaniets, “Representation of renormalization group functions by nonsingular integrals in a model of the critical dynamics of ferromagnets: The fourth order of the $\varepsilon$-expansion”, TMF, 195:1 (2018), 105–116; Theoret. and Math. Phys., 195:1 (2018), 584–594
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9412
  • https://doi.org/10.4213/tmf9412
  • https://www.mathnet.ru/eng/tmf/v195/i1/p105
    • This publication is cited in the following 2 articles:
    1. L. Ts. Adzhemyan, M. Hnatic, E. Ivanova, M. V. Kompaniets, T. Lucivjansky, L. Mizisin, “Renormalization approach to the gribov process: numerical evaluation of critical exponents in two subtraction schemes”, Mathematical Modeling and Computational Physics 2019 (Mmcp 2019), EPJ Web Conf., 226, eds. G. Adam, J. Busa, M. Hnatic, EDP Sciences, 2020, 02001  crossref  isi
    2. Yu. A. Zhavoronkov, M. V. Komarova, Yu. G. Molotkov, M. Yu. Nalimov, J. Honkonen, “Critical dynamics of the phase transition to the superfluid state”, Theoret. and Math. Phys., 200:2 (2019), 1237–1251  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    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
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    References:52
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