Numbers and functions in quantum field theory

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 23 Apr 2018Embargo end date: 01 Jan 2016 English Publisher:American Physical Society (APS)Journal:Physical Review D, volume 97 (issn: 2470-0010, eissn: 2470-0029,

Copyright policy )Funded by:DFG | unidentified

Authors: Schnetz, Oliver;

doi: 10.1103/physrevd.97.085018 , 10.48550/arxiv.1606.08598

arXiv: 1606.08598

Numbers and functions in quantum field theory

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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 $β$, $γ$, $γ_m$ of dimensionally regularized $ϕ^4$ theory in the minimal subtraction scheme up to seven loops.

26 pages, revised and updated. 7 loops phi^4 added

Related Organizations

University of Erlangen-Nuremberg
Germany

Keywords

High Energy Physics - Theory, Mathematics - Number Theory, High Energy Physics - Theory (hep-th), FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Number Theory (math.NT), Mathematical Physics

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