Calculation of critical index η of the φ³-theory in 4-loop approximation by the conformal bootstrap technique

Original · EN

The method of calculation of ε-expansion in model of scalar field with φ³-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.