Analytical results for the four-loop RG functions in the 2D non-linear O(n) σ-model on the lattice

preprint2013arXivOpen access

Abstract

We recalculate four-loop renormalization group functions in 2-dimensional nonlinear O(n) σ-model using coordinate-space method. The high accuracy of calculation allow us to find the analytical form of β- and γ-function (anomaluos dimension).

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