Exact correlation functions in conformal fishnet theory
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Publication:2273465
DOI10.1007/JHEP08(2019)123zbMATH Open1421.81114arXiv1808.02688MaRDI QIDQ2273465
Author name not available (Why is that?)
Publication date: 23 September 2019
Published in: (Search for Journal in Brave)
Abstract: We compute exactly various 4-point correlation functions of shortest scalar operators in bi-scalar planar four-dimensional "fishnet" CFT. We apply the OPE to extract from these functions the exact expressions for the scaling dimensions and the structure constants of all exchanged operators with an arbitrary Lorentz spin. In particular, we determine the conformal data of the simplest unprotected two-magnon operator analogous to the Konishi operator, as well as of the one-magnon operator. We show that at weak coupling 4-point correlation functions can be systematically expanded in terms of harmonic polylogarithm functions and verify our results by explicit calculation of Feynman graphs at a few orders in the coupling. At strong coupling we obtain that the correlation functions exhibit the scaling behaviour typical for semiclassical description hinting at the existence of the holographic dual.
Full work available at URL: https://arxiv.org/abs/1808.02688
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