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

D. V. Batkovich; M. V. Kompaniets; K. G. Chetyrkin

doi:10.1016/j.nuclphysb.2016.03.009

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arXiv · 1601.01960

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

D. V. Batkovich·M. V. Kompaniets·K. G. Chetyrkin

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Abstract

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. Predictions for seven loop contribution to the field anomalous dimensions are given.

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D. V. Batkovich, M. V. Kompaniets, K. G. Chetyrkin. 2016-03-15. Six loop analytical calculation of the field anomalous dimension and the critical exponent $η$ in $O(n)$-symmetric $φ^4$ model. https://doi.org/10.1016/j.nuclphysb.2016.03.009

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