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Tailoring three-point functions and integrability III. Classical tunneling

  • Nikolay Gromov
  • Amit Sever
  • Pedro VieiraEmail author
Article

Abstract

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 \( \mathcal{N} = 4 \) 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 by-product we solved a new long-range Ising model in the thermodynamic limit.

Keywords

Lattice Integrable Models AdS-CFT Correspondence Bethe Ansatz Integrable Field Theories 

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Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  1. 1.Department of MathematicsKing’s College LondonLondonUK
  2. 2.St.Petersburg INPSt. PetersburgRussia
  3. 3.Perimeter Institute for Theoretical PhysicsWaterlooCanada
  4. 4.School of Natural Sciences, Institute for Advanced StudyPrincetonUSA

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