Abstract
We propose a new method for the computation of quantum three-point functions for operators in \( \mathfrak{s}\mathfrak{u} \)(2) sectors of \( \mathcal{N} \) = 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.
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Jiang, Y., Kostov, I., Loebbert, F. et al. Fixing the quantum three-point function. J. High Energ. Phys. 2014, 19 (2014). https://doi.org/10.1007/JHEP04(2014)019
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DOI: https://doi.org/10.1007/JHEP04(2014)019