期刊
PHYSICAL REVIEW D
卷 97, 期 8, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.97.085018
关键词
-
资金
- DFG [SCHN 1240/2]
We review recent results in the theory of numbers and single-valued functions on the complex plane which arise in quantum field theory. These results are the basis for a new approach to high-loop-order calculations. As concrete examples, we provide scheme-independent counterterms of primitive log-divergent graphs in phi(4) theory up to eight loops and the renormalization functions beta, gamma, gamma(m) of dimensionally regularized phi(4) theory in the minimal subtraction scheme up to seven loops.
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