Calculation of critical index $η$ of the $φ^3$-theory in 4-loop approximation by the conformal bootstrap technique
The method of calculation of $\varepsilon$-expansion in model of scalar field with $φ^3$-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 $η$ 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.
hep-th↗