Scientific seminar dedicated to the 65th anniversary of Professor A. P. Isaev
On 11 March 2022, at 3:00 PM, a scientific seminar dedicated to the 65th anniversary of Professor A. P. Isaev will be held in the Conference Hall of the Bogoliubov Laboratory of Theoretical Physics (2nd floor).
Seminar topic: “Conformal Triangles and Zig-Zag Diagrams”
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. I recall a very interesting history of the problem and give a fairly simple proof of the Broadhurst-Kreimer conjecture about the values of zig-zag diagrams which make a significant contribution to the renormalization group β-function in 4-dimensional φ4 theory.