Tailoring three-point functions and Integrability III. Classical tunneling

Nikolay Gromov*, Amit Sever, Pedro Vieira

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We compute three-point functions between one large classical operator and two large BPS operators at weak coupling. We consider operators made out of the scalars of N = 4 SYM, dual to strings moving in the sphere. The three-point function exponentiates and can be thought of as a classical tunneling process in which the classical string-like operator decays into two classical BPS states. From an Integrability/Condensed Matter point of view, we simplified inner products of spin chain Bethe states in a classical limit corresponding to long wavelength excitations above the ferromagnetic vacuum. As a byproduct we solved a new long-range Ising model in the thermodynamic limit.

Original languageEnglish
Article number44
JournalJournal of High Energy Physics
Issue number7
StatePublished - 2012
Externally publishedYes


  • AdS-CFT correspondence
  • Bethe ansatz
  • Integrable field theories
  • Lattice integrable models


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