Six loop analytical calculation of the field anomalous dimension and the critical exponent η in O(n)-symmetric φ4 model

We report on a completely analytical calculation of the field anomalous dimension γφγφ and the critical exponent η   for the O(n)O(n)-symmetric φ4φ4 model at the record six loop level. We successfully compare our result for γφγφ with n=1n=1 with 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.