We report on a completely analytical calculation of the field anomalous dimension γ ϕ and the critical exponent η for the O(n)-symmetric ϕ 4 model at the record six loop level. We successfully compare our result for γ ϕ with n = 1 with the predictions based on the method of the Borel resummation combined with a conformal mapping [Kazakov/Shirkov/Tarasov (1979)]. Predictions for seven loop contribution to the field anomalous dimensions are given.
We present the toolbox for analytical calculation of U V -counterterm of Feynman diagrams. It combines the power of R * -operation with modern analytical methods. Written in pure Python our toolbox can be easily used and extended.
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