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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 1, Pages 179–185
DOI: https://doi.org/10.4213/tmf8921 (Mi tmf8921) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Calculation of the critical index $\eta$ for the $\varphi^3$ theory by the conformal bootstrap method

A. L. Pismenskii

Research Institute for Physics, St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (449 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf8921
Abstract: We propose a method for calculating the $\epsilon$-expansion in the model of a scalar field with the $\varphi^3$ interaction based on the conformal bootstrap equations. We calculate the index $\eta$ in the three-loop approximation. Our result coincides with the result previously obtained by the method of renormalization group equations based on calculating a large number of Feynman diagrams.
Keywords: conformal bootstrap, $\varphi^3$ theory, critical index.
Funding agency Grant number
Saint Petersburg State University 11.38.660.2013
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 1, Pages 1516–1521
DOI: https://doi.org/10.1007/s11232-015-0360-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. L. Pismenskii, “Calculation of the critical index $\eta$ for the $\varphi^3$ theory by the conformal bootstrap method”, TMF, 185:1 (2015), 179–185; Theoret. and Math. Phys., 185:1 (2015), 1516–1521
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8921
  • https://www.mathnet.ru/eng/tmf/v185/i1/p179
    • This publication is cited in the following 4 articles:
    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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    Abstract page:294
    Full-text PDF :129
    References:61
    First page:51
     
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