Basso-Dixon correlators in two-dimensional fishnet CFT

Basso-Dixon correlators in two-dimensional fishnet CFT

Abstract We compute explicitly the two-dimensional version of Basso-Dixon type integrals for the planar 4-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 recent...

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Bibliographic Details
Main Authors: Sergei Derkachov, Vladimir Kazakov, Enrico Olivucci
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Journal of High Energy Physics
Subjects:
Conformal Field Theory
Integrable Field Theories
Nonperturbative Effects
Quantum Groups
Online Access:http://link.springer.com/article/10.1007/JHEP04(2019)032
Description
Summary:Abstract We compute explicitly the two-dimensional version of Basso-Dixon type integrals for the planar 4-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.
ISSN:1029-8479

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