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TMF, 2015, Volume 185, Number 1, Pages 179–185 (Mi tmf8921)  

This article is cited in 3 scientific papers (total in 3 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

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


DOI: https://doi.org/10.4213/tmf8921

Full text: PDF file (449 kB)
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English version:
Theoretical and Mathematical Physics, 2015, 185:1, 1516–1521

Bibliographic databases:

Document Type: Article

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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  • http://mi.mathnet.ru/eng/tmf/v185/i1/p179

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. Codello, M. Safari, G. P. Vacca, O. Zanusso, “Leading CFT constraints on multi-critical models in $d > 2$”, J. High Energy Phys., 2017, no. 4, 127  crossref  mathscinet  zmath  isi  scopus
    2. L. Zambelli, O. Zanusso, “Lee–Yang model from the functional renormalization group”, Phys. Rev. D, 95:8 (2017), 085001  crossref  isi  scopus
    3. Pismensky A.L., “Application of Eta-Expansion Technique to the Phi(3)-Theory in Arbitrary Dimension”, Int. J. Mod. Phys. A, 33:35 (2018), 1850209  crossref  mathscinet  zmath  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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