Calculation of critical index eta of the phi(3)-theory in four-loop approximation by the conformal bootstrap technique

摘要

The method of calculation of epsilon-expansion in model of ield with (phi(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 Peynman diagrams. The four-loop result agrees with its numerical value obtained by other authors.