This article is cited 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

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.

DOI: 10.4213/tmf8921

 English version: Theoretical and Mathematical Physics, 2015, 185:1, 1516–1521

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