Fixing the quantum three-point function

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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.

Original languageEnglish
Article number19
JournalJournal of High Energy Physics
Volume2014
Issue number4
DOIs
Publication statusPublished - 1 Jan 2014
Externally publishedYes

Keywords

  • Bethe Ansatz
  • Gauge-gravity correspondence
  • Integrable Field Theories
  • Supersymmetric gauge theory

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