2018/01/31 by Vladimir Kazakov, Enrico Olivucci
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Feynman diagram #Field (mathematics) #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Operator product expansion #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum field theory #Quantum mechanics #Spin (aerodynamics) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevlett.121.131601
published as Phys. Rev. Lett. 121, 131601 (2018) · 5 pages, 4 figures, v2: typos corrected, v3: as accepted for publication on Physical Review Letters
openalex publication_date 2018/09/25 · arxiv created 2018/10/03 · arxiv updated 2018/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a D-dimensional generalization of 4D biscalar conformal quantum field theory recently introduced by Gürdogan and one of the authors as a particular strong-twist limit of γ-deformed N=4 supersymmetric Yang-Mills theory. Similar to the 4D case, the planar correlators of this D-dimensional theory are conformal and dominated by "fishnet" Feynman graphs. The dynamics of these graphs is described by the integrable conformal SO(1,D+1) spin chain. In 2D, it is the analogue of Lipatov's SL(2,C) spin chain for the Regge limit of QCD but with the spins s=1/4 instead of s=0. Generalizing recent 4D results of Grabner, Gromov, Korchemsky, and one of the authors to any D, we compute exactly at any coupling a four-point correlation function dominated by the simplest fishnet graphs of cylindric topology and extract from it exact dimensions of operators with chiral charge 2 and any spin together with some of their operator product expansion structure constants.