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 in-homogeneous 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-01227321
Contributor : Emmanuelle de Laborderie
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Submitted on : Tuesday, November 10, 2015 - 4:25:29 PM
Last modification on : Thursday, February 7, 2019 - 4:48:19 PM
Long-term archiving on: Friday, February 12, 2016 - 6:49:51 PM
Yunfeng Jiang, Ivan Kostov, Florian Loebbert, Didina Serban. Fixing the quantum three-point function. Journal of High Energy Physics, Springer Verlag (Germany), 2014, pp.019. ⟨10.1007/JHEP04(2014)019⟩. ⟨cea-01227321⟩
