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arXiv · 1511.03211

Calculation of critical index $\eta$ of the $\varphi^3$-theory in 4-loop approximation by the conformal bootstrap technique

Artem L Pismensky
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Abstract

The method of calculation of $\varepsilon$-expansion in model of scalar field with $\varphi^3$-interaction based on conformal bootstrap equations is proposed. This technique is based on self-consistent skeleton equations involving full propagator and full triple vertex. Analytical computations of the Fisher's index $\eta$ are performed in four-loop approximation. The three-loop result coincides with one obtained previously by the renormalization group equations technique based on calculation of a larger number of Feynman diagrams. The four-loop result agrees with its numerical value obtained by other authors.

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Artem L Pismensky. 2015-11-10. Calculation of critical index $\eta$ of the $\varphi^3$-theory in 4-loop approximation by the conformal bootstrap technique. https://doi.org/10.1142/s0217751x15501389

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