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

摘要

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 et al., 1979 [40]). Predictions for seven loop contribution to the field anomalous dimensions are given.