Abstract

The problem of calculation of one-loop anomalous dimensions of composite operators can be reformulated as a spectral problem for the Hamiltonian of an N-particle quantum-mechanical system with pairwise interaction. We give a brief review of the corresponding technique using as examples the scalar field theories φ3 and φ4.As an application we calculate the exact anomalous dimensions for operators of a certain type. Bibliography: 27 titles.

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