Fishnets: Conformal Field Theories and Feynman Graphs

Double scaling limit of rectangular fishnets

2 Sept 2024, 13:30

1h

Wegelerstr. 10 - Seminar Room 2.019 - 53115 Bonn (Bethe Center)

Speaker

Ivan Kostov

Description

Large fishnet Feynman graphs have different thermodynamical limits for periodic and open boundary conditions. A Coulomb-gas integral representation of $m\times n$ rectangular fishnets has been found by Basso and Dixon. Generically the free energy per site depends only on the aspect ratio $m/n$ and not on the two cross ratios. The bulk of the fishnet becomes sensitive to the positions of the four points in the spacetime only if some of the edges become light-like. Here I give the analytic solution in the double scaling limit where all four edges approach the light cone in a controlled way, generalising the result by Basso, Dixon, Kosower, Krajenbrink and Zhong.

Presentation materials

Kostov.pdf