Correlation functions of determinant operators in conformal fishnet theory
Journal of High Energy Physics(2022)
摘要
We consider scalar local operators of the determinant type in the conformal “fishnet” theory that arises as a limit of gamma-deformed 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.
更多查看译文
关键词
Conformal Field Theory, Integrable Field Theories
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要