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We recalculate four-loop renormalization group functions in 2-dimensionalnonlinear O(n) {\sigma}-model using coordinate-space method. The high accuracyof calculation allow us to find the analytical form of {\beta}- and{\gamma}-function (anomaluos dimension).

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