Abstract : We propose a new method for the computation of quantum three-point functions for operators in su(2) sectors of N=4 super Yang-Mills theory. The method is based on the existence of a unitary transformation relating inhomogeneous and long-range spin chains. This transformation can be traced back to a combination of boost operators and an inhomogeneous version of Baxter's corner transfer matrix. We reproduce the existing results for the one-loop structure constants in a simplified form and indicate how to use the method at higher loop orders. Then we evaluate the one-loop structure constants in the quasiclassical limit and compare them with the recent strong coupling computation.
https://hal-cea.archives-ouvertes.fr/cea-01038020
Contributor : Emmanuelle de Laborderie <>
Submitted on : Wednesday, July 23, 2014 - 10:28:48 AM Last modification on : Monday, February 10, 2020 - 6:13:39 PM
Yunfeng Jiang, Ivan Kostov, Florian Loebbert, Didina Serban. Fixing the Quantum Three-Point Function. Journal of High Energy Physics, Springer, 2014, 019 (4), pp.019. ⟨cea-01038020⟩