No-$\pi$ Theorem for Euclidean Massless Correlators

Abstract

We provide the reader with a (very) short review of recent advances in our understanding of the $\pi$-dependent terms in massless (Euclidean) 2-point functions as well as in generic anomalous dimensions and $\beta$-functions. We extend the considerations of [1] by one more loop, that is for the case of 6-loop correlators and 7-loop renormalization group (RG) functions.

9 pages, Contribution to the proceedings of Loops and Legs in Quantum Field Theory, St. Goar, Germany, 29 April 2018 - 04 May 2018

References in corpus (1)

• Absence of even-integer $\zeta$-function values in Euclidean physical quantities in QCD

Cited by in corpus (1)

• Five-loop contributions to low-N non-singlet anomalous dimensions in QCD