Conformal Triangles and Zig-Zag Diagrams
High Energy Physics - Theory
2022-05-11 v2
Abstract
A convenient integral representation for zig-zag four-point and two-point planar Feynman diagrams relevant to the bi-scalar D-dimensional fishnet field theory is obtained. This representation gives a possibility to evaluate exactly diagrams of the zig-zag series in special cases. In particular, we give a fairly simple proof of the Broadhurst-Kreimer conjecture about the values of zig-zag multi-loop two-point diagrams which make a significant contribution to the renormalization group beta-function in 4-dimensional phi^4 theory.
Keywords
Cite
@article{arxiv.2201.12232,
title = {Conformal Triangles and Zig-Zag Diagrams},
author = {S. Derkachov and A. P. Isaev and L. Shumilov},
journal= {arXiv preprint arXiv:2201.12232},
year = {2022}
}