2016/06/30 by Oliver Schnetz · 2 citations
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #math.NT
paper · pdf · doi:10.1103/physrevd.97.085018
published as Phys. Rev. D 97, 085018 (2018) · 26 pages, revised and updated. 7 loops phi^4 added
arxiv created 2017/12/18 · arxiv updated 2018/05/02
We review recent results in the theory of numbers and single-valued functions on the complex plane which arise in quantum field theory. We use the results to calculate the renormalization functions β, γ, γm of dimensionally regularized ϕ4 theory in the minimal subtraction scheme up to seven loops.