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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 1, Pages 3–11
DOI: https://doi.org/10.4213/tmf8911 (Mi tmf8911) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Representation of the $\beta$-function and anomalous dimensions by nonsingular integrals in models of critical dynamics

L. Ts. Adzhemyan, S. E. Vorobyeva, M. V. Kompaniets

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (366 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf8911
Abstract: We propose a method for calculating the $\beta$-function and anomalous dimensions in critical dynamics models that is convenient for numerical calculations in the framework of the renormalization group and $\varepsilon$-expansion. Those quantities are expressed in terms of the renormalized Green's function, which is renormalized using the operation $R$ represented in a form that allows reducing ultraviolet divergences of Feynman diagrams explicitly. The integrals needed for the calculation do not contain poles in $\varepsilon$ and are convenient for numerical integration.
Keywords: renormalization group, $\varepsilon$-expansion, multiloop diagram, critical exponent.
Funding agency Grant number
Saint Petersburg State University 11.38.185.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 1, Pages 1361–1369
DOI: https://doi.org/10.1007/s11232-015-0345-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. Ts. Adzhemyan, S. E. Vorobyeva, M. V. Kompaniets, “Representation of the $\beta$-function and anomalous dimensions by nonsingular integrals in models of critical dynamics”, TMF, 185:1 (2015), 3–11; Theoret. and Math. Phys., 185:1 (2015), 1361–1369
Citation in format AMSBIB
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\paper Representation of the~$\beta$-function and anomalous dimensions by nonsingular integrals in models of critical dynamics
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  • https://www.mathnet.ru/eng/tmf/v185/i1/p3
    • This publication is cited in the following 1 articles:
    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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