Numbers and Functions in Quantum Field Theory
High Energy Physics - Theory
2018-05-02 v2 Mathematical Physics
math.MP
Number Theory
Abstract
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 , , of dimensionally regularized theory in the minimal subtraction scheme up to seven loops.
Cite
@article{arxiv.1606.08598,
title = {Numbers and Functions in Quantum Field Theory},
author = {Oliver Schnetz},
journal= {arXiv preprint arXiv:1606.08598},
year = {2018}
}
Comments
26 pages, revised and updated. 7 loops phi^4 added