Basso-Dixon Correlators in Two-Dimensional Fishnet CFT
High Energy Physics - Theory
2019-05-01 v2
Abstract
We compute explicitly the two-dimensional version of Basso-Dixon type integrals for the planar four-point correlation functions given by conformal fishnet Feynman graphs. These diagrams are represented by a fragment of a regular square lattice of power-like propagators, arising in the recently proposed integrable bi-scalar fishnet CFT. The formula is derived from first principles, using the formalism of separated variables in integrable SL(2,C) spin chain. It is generalized to anisotropic fishnet, with different powers for propagators in two directions of the lattice.
Cite
@article{arxiv.1811.10623,
title = {Basso-Dixon Correlators in Two-Dimensional Fishnet CFT},
author = {Sergey Derkachov and Vladimir Kazakov and Enrico Olivucci},
journal= {arXiv preprint arXiv:1811.10623},
year = {2019}
}
Comments
30 pages, 13 figures, v2: improved formulas, typos corrected