Abstract
We consider scalar local operators of the determinant type in the conformal “fishnet” theory that arises as a limit of gamma-deformed \( \mathcal{N} \) = 4 super Yang-Mills theory. We generalise a field-theory approach to expand their correlation functions to arbitrary order in the small coupling constants and apply it to the bi-scalar reduction of the model. We explicitly analyse the two-point functions of determinants, as well as of certain deformations with the insertion of scalar fields, and describe the Feynman-graph structure of three- and four-point correlators with single-trace operators. These display the topology of globe and spiral graphs, which are known to renormalise single-trace operators, but with “alternating” boundary conditions. In the appendix material we further investigate a four-point function of two determinants and the shortest bi-local single trace. We resum the diagrams by the Bethe-Salpeter method and comment on the exchanged OPE states.
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Shahpo, O., Vescovi, E. Correlation functions of determinant operators in conformal fishnet theory. J. High Energ. Phys. 2022, 70 (2022). https://doi.org/10.1007/JHEP06(2022)070
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DOI: https://doi.org/10.1007/JHEP06(2022)070