Fixing the quantum three-point function

Yunfeng Jiang (1) , Ivan Kostov (1) , Florian Loebbert , Didina Serban (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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.

Keywords: Gauge-gravity correspondence; Supersymmetric gauge theory; Bethe Ansatz; Integrable Field Theories

Domains: Physics [physics]

Yunfeng Jiang, Ivan Kostov, Florian Loebbert, Didina Serban. Fixing the quantum three-point function. Journal of High Energy Physics, 2014, 4, pp.019. ⟨10.1007/JHEP04(2014)019⟩. ⟨cea-01227321⟩