Six loop analytical calculation of the field anomalous dimension and the critical exponent eta in O(n)-symmetric phi(4) model

We report on a completely analytical calculation of the field anomalous dimension γϕand the critical exponent ηfor the O(n)-symmetric ϕ$^{4}$model at the record six loop level. We successfully compare our result for γϕ with n =1with the predictions based on the method of the Borel resummation combined with a conformal mapping (Kazakov et al., 1979 [40]). Predictions for seven loop contribution to the field anomalous dimensions are given