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28.03.2023 / 15:00 - 16:00 / Hamburg, SR2
Theory SeminarOperator formalism, zig-zag Feynman diagrams and conformal triangles.
Leonid Shumilov (UHH)
I will discuss the success of applying the operator formalism to the calculation of massless Feynman diagrams. I will touch on the basics of this method, and then demonstrate how this approach helped to obtain a proof of the Broadhurst-Kreimer conjecture about the values of zig-zag multiloop diagrams which make a significant contribution to the renormalization group β-function in the 4-dimensional φ4 quantum field theory. The main part of the talk will be devoted to the construction of the so-called graph-building operator and the use of its conformal properties for its diagonalization. The talk is based on https://arxiv.org/abs/2201.12232 and https://arxiv.org/abs/2302.11238.
More Information: https://indico.desy.de/event/38611/
