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Renormalization Group and Perturbation Theory Near Fixed Points in Two-Dimensional Field Theory

A. B. Zamolodchikov

Abstract

The behavior of the renormalization group is investigated in the neighborhood of the fixed points described by the ''minimal'' conformal theories M/sub p/ with p>>1. In the leading approximation in 1/p a field theory is constructed which corresponds to the renormalization-group trajectory connecting the fixed points M/sub p/ and M/sub p//sub -1/.

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Key concepts: Fixed point, Renormalization group, Mathematics, Perturbation theory (quantum mechanics), Asymptotic safety in quantum gravity, Mathematical physics, Renormalization, Field theory (psychology)