Calculation of the~critical index $\eta$ for the~$\varphi^3$ theory by the~conformal bootstrap method
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 1, pp. 179-185
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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.
@article{TMF_2015_185_1_a15,
author = {A. L. Pismenskii},
title = {Calculation of the~critical index $\eta$ for the~$\varphi^3$ theory by the~conformal bootstrap method},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {179--185},
publisher = {mathdoc},
volume = {185},
number = {1},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a15/}
}
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A. L. Pismenskii. Calculation of the~critical index $\eta$ for the~$\varphi^3$ theory by the~conformal bootstrap method. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 1, pp. 179-185. http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a15/