Tailoring Three-Point Functions and Integrability III. Classical Tunneling

Details Tailoring Three-Point Functions and Integrability III. Classical Tunneling Tailoring Three-Point Functions and Integrability III. Classical Tunneling

2011-11-09

arxiv.org/abs/1111.2349v1

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 10 figures

Scientific paper

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 by-product we solved a new long-range Ising model in the thermodynamic limit.

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